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Number

100

100 — One Hundred

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

One hundred is the square of 10 and the basis of percentages. It marks a natural milestone in many counting and measurement systems.

Sources https://en.wikipedia.org/wiki/100
Abundant Number Curated Flippable Gapful Number Happy Number Harshad / Niven Odious Number Perfect Square Pernicious Number Power of Ten Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Notable events — 100 AD

  1. Undated Emperor Trajan and Frontinus serve as Roman consuls; brick becomes a primary Roman building material.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Notable events — 100 BC

  1. Jul 12 Traditional birth date of Julius Caesar.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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
Friday
January 1, 100
Ended on
Friday
December 31, 100
Friday the 13ths
1
One Friday the 13th this year.
Decade
100s
100–109
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
1,926
1926 years before 2026.

In other calendars

Hebrew
3860 / 3861 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Metal zodiac:Rat
Sexagenary cycle position 37 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
643 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
92 / 93 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
22 / 21 Saka
Indian national calendar; year starts in March.

Cultural significance

Western significant

Basis of percentages; "a centenarian" lives 100 years; a perfect score.

Ten squared — completion in decimal.

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

Properties

Parity
Even
Digit count
3
Digit sum
1
Digit product
0
Digital root
1
Palindrome
No
Bit width
7 bits
Reversed
1
Flips to (rotate 180°)
1
Recamán's sequence
a(387) = 100
Square (n²)
10,000
Cube (n³)
1,000,000
Square root (√n)
10
Divisor count
9
σ(n) — sum of divisors
217
φ(n) — Euler's totient
40
Sum of prime factors
14

Primality

Prime factorization: 2 2 × 5 2

Nearest primes: 97 (−3) · 101 (+1)

Divisors & multiples

All divisors (9)
1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 (half) · 100
Aliquot sum (sum of proper divisors): 117
Factor pairs (a × b = 100)
1 × 100
2 × 50
4 × 25
5 × 20
10 × 10
First multiples
100 · 200 (double) · 300 · 400 · 500 · 600 · 700 · 800 · 900 · 1,000

Sums & aliquot sequence

As a sum of two squares: 0² + 10² = 6² + 8²
As consecutive integers: 18 + 19 + 20 + 21 + 22 9 + 10 + … + 16
Aliquot sequence: 100 117 65 19 1 0 — terminates at zero

Representations

In words
one hundred
Ordinal
100th
Roman numeral
C
Binary
1100100
Octal
144
Hexadecimal
0x64
Base64
ZA==
One's complement
155 (8-bit)
In other bases
ternary (3) 10201
quaternary (4) 1210
quinary (5) 400
senary (6) 244
septenary (7) 202
nonary (9) 121
undecimal (11) 91
duodecimal (12) 84
tridecimal (13) 79
tetradecimal (14) 72
pentadecimal (15) 6a

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓍢
Greek (Milesian)
ρʹ
Mayan (base 20)
𝋥·𝋠
Chinese
一百
Chinese (financial)
壹佰
In other modern scripts
Eastern Arabic ١٠٠ Devanagari १०० Bengali ১০০ Tamil ௧௦௦ Thai ๑๐๐ Tibetan ༡༠༠ Khmer ១០០ Lao ໑໐໐ Burmese ၁၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 100 = 7
e — Euler's number (e)
Digit 100 = 7
φ — Golden ratio (φ)
Digit 100 = 7
√2 — Pythagoras's (√2)
Digit 100 = 2
ln 2 — Natural log of 2
Digit 100 = 7
γ — Euler-Mascheroni (γ)
Digit 100 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100, here are decompositions:

  • 3 + 97 = 100
  • 11 + 89 = 100
  • 17 + 83 = 100
  • 29 + 71 = 100
  • 41 + 59 = 100
  • 47 + 53 = 100
ASCII character

As an ASCII codepoint, 100 is d. Printable ASCII character d.

HTTP status code

HTTP 100 Continue — Server has received the request headers; client should continue with the body.

1xx class: Informational.

Hex color
#000064
RGB(0, 0, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.100.

Address
0.0.0.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.100

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