Number

103

103 is a prime, odd, a calendar year.

Arithmetic Number Cousin Prime Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Historical context — 103 AD

Calendar year

103 (CIII) was a common year starting on Sunday of the Julian calendar.

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Historical context — 103 BC

Calendar year

Year 103 BC was a year of the pre-Julian Roman calendar.

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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: Monday
January 1, 103
Ended on: Monday
December 31, 103
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: 1,923
1923 years before 2026.

In other calendars

Hebrew: 3863 / 3864 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Rabbit
Sexagenary cycle position 40 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 646 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 95 / 96 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 25 / 24 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 7 bits
Reversed: 301
Recamán's sequence: a(381) = 103
Square (n²): 10,609
Cube (n³): 1,092,727
Divisor count: 2
σ(n) — sum of divisors: 104
φ(n) — Euler's totient: 102

Primality

103 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 103

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 103)

1 × 103

First multiples

103 · 206 (double) · 309 · 412 · 515 · 618 · 721 · 824 · 927 · 1,030

Sums & aliquot sequence

As consecutive integers: 51 + 52

Representations

In words: one hundred three
Ordinal: 103rd
Roman numeral: CIII
Binary: 1100111
Octal: 147
Hexadecimal: 0x67
Base64: Zw==
One's complement: 152 (8-bit)

In other bases

ternary (3) 10211

quaternary (4) 1213

quinary (5) 403

senary (6) 251

septenary (7) 205

nonary (9) 124

undecimal (11) 94

duodecimal (12) 87

tridecimal (13) 7c

tetradecimal (14) 75

pentadecimal (15) 6d

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓏺𓏺𓏺
Greek (Milesian): ργʹ
Mayan (base 20): 𝋥·𝋣
Chinese: 一百零三
Chinese (financial): 壹佰零參

In other modern scripts

Eastern Arabic ١٠٣ Devanagari १०३ Bengali ১০৩ Tamil ௧௦௩ Thai ๑๐๓ Tibetan ༡༠༣ Khmer ១០៣ Lao ໑໐໓ Burmese ၁၀၃

Digit at this position in famous constants

π — Pi (π): Digit 103 = 2
e — Euler's number (e): Digit 103 = 7
φ — Golden ratio (φ): Digit 103 = 4
√2 — Pythagoras's (√2): Digit 103 = 5
ln 2 — Natural log of 2: Digit 103 = 2
γ — Euler-Mascheroni (γ): Digit 103 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 101 (gap of 2)
Next prime: 107 (gap of 4)

Pair status: twin with 101, cousin with 107.

ASCII character

As an ASCII codepoint, 103 is g. Printable ASCII character g.

Hex color

#000067

RGB(0, 0, 103)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.103.

Address: 0.0.0.103
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.103

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