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108,664

108,664 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.).
Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
466,801
Recamán's sequence
a(80,187) = 108,664
Square (n²)
11,807,864,896
Cube (n³)
1,283,089,831,058,944
Divisor count
24
σ(n) — sum of divisors
221,040
φ(n) — Euler's totient
50,048
Sum of prime factors
87

Primality

Prime factorization: 2 3 × 17 2 × 47

Nearest primes: 108,649 (−15) · 108,677 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 17 · 34 · 47 · 68 · 94 · 136 · 188 · 289 · 376 · 578 · 799 · 1156 · 1598 · 2312 · 3196 · 6392 · 13583 · 27166 · 54332 (half) · 108664
Aliquot sum (sum of proper divisors): 112,376
Factor pairs (a × b = 108,664)
1 × 108664
2 × 54332
4 × 27166
8 × 13583
17 × 6392
34 × 3196
47 × 2312
68 × 1598
94 × 1156
136 × 799
188 × 578
289 × 376
First multiples
108,664 · 217,328 (double) · 325,992 · 434,656 · 543,320 · 651,984 · 760,648 · 869,312 · 977,976 · 1,086,640

Sums & aliquot sequence

As consecutive integers: 6,784 + 6,785 + … + 6,799 6,384 + 6,385 + … + 6,400 2,289 + 2,290 + … + 2,335 264 + 265 + … + 535
Aliquot sequence: 108,664 112,376 117,664 114,050 98,176 116,024 101,536 110,144 108,550 110,186 59,674 29,840 39,724 29,800 39,950 40,402 20,204 — unresolved within range

Continued fraction of √n

√108,664 = [329; (1, 1, 1, 3, 1, 7, 2, 1, 4, 1, 4, 2, 1, 2, 1, 1, 1, 1, 4, 3, 1, 2, 5, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand six hundred sixty-four
Ordinal
108664th
Binary
11010100001111000
Octal
324170
Hexadecimal
0x1A878
Base64
Aah4
One's complement
4,294,858,631 (32-bit)
Scientific notation
1.08664 × 10⁵
In other bases
ternary (3) 12112001121
quaternary (4) 122201320
quinary (5) 11434124
senary (6) 2155024
septenary (7) 631543
nonary (9) 175047
undecimal (11) 74706
duodecimal (12) 52a74
tridecimal (13) 3a5ca
tetradecimal (14) 2b85a
pentadecimal (15) 222e4

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρηχξδʹ
Mayan (base 20)
𝋭·𝋫·𝋭·𝋤
Chinese
一十萬八千六百六十四
Chinese (financial)
壹拾萬捌仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٨٦٦٤ Devanagari १०८६६४ Bengali ১০৮৬৬৪ Tamil ௧௦௮௬௬௪ Thai ๑๐๘๖๖๔ Tibetan ༡༠༨༦༦༤ Khmer ១០៨៦៦៤ Lao ໑໐໘໖໖໔ Burmese ၁၀၈၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108664, here are decompositions:

  • 107 + 108557 = 108664
  • 131 + 108533 = 108664
  • 167 + 108497 = 108664
  • 251 + 108413 = 108664
  • 263 + 108401 = 108664
  • 317 + 108347 = 108664
  • 401 + 108263 = 108664
  • 431 + 108233 = 108664

Showing the first eight; more decompositions exist.

Hex color
#01A878
RGB(1, 168, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.168.120.

Address
0.1.168.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.168.120

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 108,664 and was likely granted around 1870.

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