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Number

107

107 is a prime, odd, a calendar year.

107 (one hundred seven) is an odd 3-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is CVII and in binary, 1101011.

Arithmetic Number Binary Palindrome Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree Twin Prime Year

Interestingness

12 notable facts · grade A
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Historical context — 107 AD

Calendar year

Year 107 (CVII) was a common year starting on Friday of the Julian calendar.

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

Historical context — 107 BC

Calendar year

Year 107 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
Saturday
January 1, 107
Ended on
Saturday
December 31, 107
Friday the 13ths
1
One Friday the 13th this year.
Decade
100s
100–109
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,919
1919 years before 2026.

In other calendars

Hebrew
3867 / 3868 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Fire zodiac:Goat
Sexagenary cycle position 44 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
650 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
99 / 100 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
29 / 28 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
7 bits
Reversed
701
Recamán's sequence
a(373) = 107
Square (n²)
11,449
Cube (n³)
1,225,043
Divisor count
2
σ(n) — sum of divisors
108
φ(n) — Euler's totient
106

Primality

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

Divisors & multiples

All divisors (2)
1 · 107
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 107)
1 × 107
First multiples
107 · 214 (double) · 321 · 428 · 535 · 642 · 749 · 856 · 963 · 1,070

Sums & aliquot sequence

As consecutive integers: 53 + 54

Continued fraction of √n

√107 = [10; (2, 1, 9, 1, 2, 20)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred seven
Ordinal
107th
Roman numeral
CVII
Binary
1101011
Octal
153
Hexadecimal
0x6B
Base64
aw==
One's complement
148 (8-bit)
Scientific notation
1.07 × 10²
As a duration
107 s = 1 minute, 47 seconds
In other bases
ternary (3) 10222
quaternary (4) 1223
quinary (5) 412
senary (6) 255
septenary (7) 212
nonary (9) 128
undecimal (11) 98
duodecimal (12) 8b
tridecimal (13) 83
tetradecimal (14) 79
pentadecimal (15) 72
Palindromic in base 2, base 7

As an angle

107°
107° ≈ 1.868 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ρζʹ
Mayan (base 20)
𝋥·𝋧
Chinese
一百零七
Chinese (financial)
壹佰零柒
In other modern scripts
Eastern Arabic ١٠٧ Devanagari १०७ Bengali ১০৭ Tamil ௧௦௭ Thai ๑๐๗ Tibetan ༡༠༧ Khmer ១០៧ Lao ໑໐໗ Burmese ၁၀၇

Digit at this position in famous constants

π — Pi (π)
Digit 107 = 0
e — Euler's number (e)
Digit 107 = 3
φ — Golden ratio (φ)
Digit 107 = 0
√2 — Pythagoras's (√2)
Digit 107 = 8
ln 2 — Natural log of 2
Digit 107 = 4
γ — Euler-Mascheroni (γ)
Digit 107 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 103 (gap of 4)
  • Next prime: 109 (gap of 2)

Pair status: twin with 109, cousin with 103.

ASCII character

As an ASCII codepoint, 107 is k. Printable ASCII character k.

Hex color
#00006B
RGB(0, 0, 107)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.107.

Address
0.0.0.107
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.107

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

Musical pitch

Heard as a frequency, 107 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A2 (110 Hz, -48¢ — about midway to G♯2)
  • Scientific pitch (C4 = 256 Hz): A2 (107.6 Hz, -10¢)
  • Baroque pitch (A4 = 415 Hz): A♯2 (109.9 Hz, -47¢ — about midway to A2)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 107 is B7 (3951.1 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 107 is Bohrium (Bh) — period 7.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.