Number

102

102 is a composite number, even, a calendar year.

102 (one hundred two) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 17. Its proper divisors sum to 114, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CII and in binary, 1100110.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114

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Historical context — 102 AD

Calendar year

Year 102 (CII) was a common year starting on Saturday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 102 BC

Calendar year

Year 102 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Sunday
January 1, 102
Ended on: Sunday
December 31, 102
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 100s
100–109
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,924
1924 years before 2026.

In other calendars

Hebrew: 3862 / 3863 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 645 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 94 / 95 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 24 / 23 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 7 bits
Reversed: 201
Recamán's sequence: a(383) = 102
Square (n²): 10,404
Cube (n³): 1,061,208
Divisor count: 8
σ(n) — sum of divisors: 216
φ(n) — Euler's totient: 32
Sum of prime factors: 22

Primality

Prime factorization: 2 × 3 × 17

Nearest primes: 101 (−1) · 103 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 17 · 34 · 51 (half) · 102

Aliquot sum (sum of proper divisors): 114

Factor pairs (a × b = 102)

1 × 102

2 × 51

3 × 34

6 × 17

First multiples

102 · 204 (double) · 306 · 408 · 510 · 612 · 714 · 816 · 918 · 1,020

Sums & aliquot sequence

As consecutive integers: 33 + 34 + 35 24 + 25 + 26 + 27 3 + 4 + … + 14

Aliquot sequence: 102 → 114 → 126 → 186 → 198 → 270 → 450 → 759 → 393 → 135 → 105 → 87 → 33 → 15 → 9 → 4 → 3 — unresolved within range

Continued fraction of √n

√102 = [10; (10, 20)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one hundred two
Ordinal: 102nd
Roman numeral: CII
Binary: 1100110
Octal: 146
Hexadecimal: 0x66
Base64: Zg==
One's complement: 153 (8-bit)
Scientific notation: 1.02 × 10²
As a duration: 102 s = 1 minute, 42 seconds

In other bases

ternary (3) 10210

quaternary (4) 1212

quinary (5) 402

senary (6) 250

septenary (7) 204

nonary (9) 123

undecimal (11) 93

duodecimal (12) 86

tridecimal (13) 7b

tetradecimal (14) 74

pentadecimal (15) 6c

As an angle

102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓏺𓏺
Greek (Milesian): ρβʹ
Mayan (base 20): 𝋥·𝋢
Chinese: 一百零二
Chinese (financial): 壹佰零貳

In other modern scripts

Eastern Arabic ١٠٢ Devanagari १०२ Bengali ১০২ Tamil ௧௦௨ Thai ๑๐๒ Tibetan ༡༠༢ Khmer ១០២ Lao ໑໐໒ Burmese ၁၀၂

Digit at this position in famous constants

π — Pi (π): Digit 102 = 8
e — Euler's number (e): Digit 102 = 2
φ — Golden ratio (φ): Digit 102 = 8
√2 — Pythagoras's (√2): Digit 102 = 3
ln 2 — Natural log of 2: Digit 102 = 4
γ — Euler-Mascheroni (γ): Digit 102 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 102, here are decompositions:

5 + 97 = 102
13 + 89 = 102
19 + 83 = 102
23 + 79 = 102
29 + 73 = 102
31 + 71 = 102
41 + 61 = 102
43 + 59 = 102

Showing the first eight; more decompositions exist.

ASCII character

As an ASCII codepoint, 102 is f. Printable ASCII character f.

Hex color

#000066

RGB(0, 0, 102)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.102.

Address: 0.0.0.102
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.102

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 102 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯2 (103.8 Hz, -31¢)
Scientific pitch (C4 = 256 Hz): G♯2 (101.6 Hz, +7¢)
Baroque pitch (A4 = 415 Hz): A2 (103.8 Hz, -29¢)

(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 102 is F♯7 (2960 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 102 is Nobelium (No) — period 7.

Nobelium on Wikipedia ↗

Food additive (E-number)

On an ingredients label, E102 is Tartrazine, a food colour — a yellow azo dye that EU law requires be labelled for its possible effect on children's attention.

E-number reference (Wikipedia) ↗