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107,108

107,108 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

107,108 (one hundred seven thousand one hundred eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 26,777. Written other ways, in hexadecimal, 0x1A264.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
801,701
Recamán's sequence
a(82,271) = 107,108
Square (n²)
11,472,123,664
Cube (n³)
1,228,756,221,403,712
Divisor count
6
σ(n) — sum of divisors
187,446
φ(n) — Euler's totient
53,552
Sum of prime factors
26,781

Primality

Prime factorization: 2 2 × 26777

Nearest primes: 107,101 (−7) · 107,119 (+11)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 26777 · 53554 (half) · 107108
Aliquot sum (sum of proper divisors): 80,338
Factor pairs (a × b = 107,108)
1 × 107108
2 × 53554
4 × 26777
First multiples
107,108 · 214,216 (double) · 321,324 · 428,432 · 535,540 · 642,648 · 749,756 · 856,864 · 963,972 · 1,071,080

Sums & aliquot sequence

As a sum of two squares: 182² + 272²
As consecutive integers: 13,385 + 13,386 + … + 13,392
Aliquot sequence: 107,108 → 80,338 → 40,172 → 38,032 → 35,686 → 25,514 → 12,760 → 19,640 → 24,640 → 48,512 → 48,388 → 36,298 → 18,152 → 15,898 → 7,952 → 9,904 → 9,316 — unresolved within range

Continued fraction of √n

√107,108 = [327; (3, 1, 1, 1, 8, 1, 92, 1, 1, 1, 1, 3, 4, 1, 7, 13, 4, 2, 1, 7, 1, 4, 4, 2, …)]

Representations

In words
one hundred seven thousand one hundred eight
Ordinal
107108th
Binary
11010001001100100
Octal
321144
Hexadecimal
0x1A264
Base64
AaJk
One's complement
4,294,860,187 (32-bit)
Scientific notation
1.07108 × 10⁵
As a duration
107,108 s = 1 day, 5 hours, 45 minutes, 8 seconds
In other bases
ternary (3) 12102220222
quaternary (4) 122021210
quinary (5) 11411413
senary (6) 2143512
septenary (7) 624161
nonary (9) 172828
undecimal (11) 73521
duodecimal (12) 51b98
tridecimal (13) 399a1
tetradecimal (14) 2b068
pentadecimal (15) 21b08

As an angle

107,108° = 297 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζρηʹ
Mayan (base 20)
𝋭·𝋧·𝋯·𝋨
Chinese
十萬七千一百零八
Chinese (financial)
壹拾萬柒仟壹佰零捌
In other modern scripts
Eastern Arabic ١٠٧١٠٨ Devanagari १०७१०८ Bengali ১০৭১০৮ Tamil ௧௦௭௧௦௮ Thai ๑๐๗๑๐๘ Tibetan ༡༠༧༡༠༨ Khmer ១០៧១០៨ Lao ໑໐໗໑໐໘ Burmese ၁၀၇၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107108, here are decompositions:

  • 7 + 107101 = 107108
  • 19 + 107089 = 107108
  • 31 + 107077 = 107108
  • 37 + 107071 = 107108
  • 151 + 106957 = 107108
  • 241 + 106867 = 107108
  • 307 + 106801 = 107108
  • 349 + 106759 = 107108

Showing the first eight; more decompositions exist.

Hex color
#01A264
RGB(1, 162, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.100.

Address
0.1.162.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.100

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 107,108 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 107108 first appears in π at position 511,333 of the decimal expansion (the 511,333ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.