Number

108

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

Abundant Number Achilles Number Evil Number Flippable Gapful Number Harshad / Niven Powerful Number Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Historical context — 108 AD

Calendar year

Year 108 (CVIII) was a leap year starting on Saturday of the Julian calendar.

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

Historical context — 108 BC

Calendar year

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

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

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Sunday
January 1, 108
Ended on: Monday
December 31, 108
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 100s
100–109
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,918
1918 years before 2026.

In other calendars

Hebrew: 3868 / 3869 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 651 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 100 / 101 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 30 / 29 Saka
Indian national calendar; year starts in March.

Cultural significance

Hindu sacred

The number of beads on a mala (prayer rosary); 108 names of major deities.

Considered the most auspicious number in Hindu tradition.

Wikipedia ↗

Buddhist sacred

108 mortal desires / defilements (kleshas); 108 mala beads; Japanese New Year bell rung 108 times.

Sourced from Wikipedia (Numerology, Chinese numerology, Gematria, and per-culture articles).

Properties

Parity: Even
Digit count: 3
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 7 bits
Reversed: 801
Flips to (rotate 180°): 801
Recamán's sequence: a(371) = 108
Square (n²): 11,664
Cube (n³): 1,259,712
Divisor count: 12
σ(n) — sum of divisors: 280
φ(n) — Euler's totient: 36
Sum of prime factors: 13

Primality

Prime factorization: 2 ² × 3 ³

Nearest primes: 107 (−1) · 109 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 (half) · 108

Aliquot sum (sum of proper divisors): 172

Factor pairs (a × b = 108)

1 × 108

2 × 54

3 × 36

4 × 27

6 × 18

9 × 12

First multiples

108 · 216 (double) · 324 · 432 · 540 · 648 · 756 · 864 · 972 · 1,080

Sums & aliquot sequence

As consecutive integers: 35 + 36 + 37 10 + 11 + … + 17 8 + 9 + … + 16

Aliquot sequence: 108 → 172 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Representations

In words: one hundred eight
Ordinal: 108th
Roman numeral: CVIII
Binary: 1101100
Octal: 154
Hexadecimal: 0x6C
Base64: bA==
One's complement: 147 (8-bit)

In other bases

ternary (3) 11000

quaternary (4) 1230

quinary (5) 413

senary (6) 300

septenary (7) 213

nonary (9) 130

undecimal (11) 99

duodecimal (12) 90

tridecimal (13) 84

tetradecimal (14) 7a

pentadecimal (15) 73

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ρηʹ
Mayan (base 20): 𝋥·𝋨
Chinese: 一百零八
Chinese (financial): 壹佰零捌

In other modern scripts

Eastern Arabic ١٠٨ Devanagari १०८ Bengali ১০৮ Tamil ௧௦௮ Thai ๑๐๘ Tibetan ༡༠༨ Khmer ១០៨ Lao ໑໐໘ Burmese ၁၀၈

Digit at this position in famous constants

π — Pi (π): Digit 108 = 8
e — Euler's number (e): Digit 108 = 9
φ — Golden ratio (φ): Digit 108 = 8
√2 — Pythagoras's (√2): Digit 108 = 4
ln 2 — Natural log of 2: Digit 108 = 8
γ — Euler-Mascheroni (γ): Digit 108 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108, here are decompositions:

5 + 103 = 108
7 + 101 = 108
11 + 97 = 108
19 + 89 = 108
29 + 79 = 108
37 + 71 = 108
41 + 67 = 108
47 + 61 = 108

Showing the first eight; more decompositions exist.

ASCII character

As an ASCII codepoint, 108 is l. Printable ASCII character l.

Hex color

#00006C

RGB(0, 0, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.108.

Address: 0.0.0.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.108

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