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108,800

108,800 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 Flippable Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
8,801
Flips to (rotate 180°)
8,801
Recamán's sequence
a(80,459) = 108,800
Square (n²)
11,837,440,000
Cube (n³)
1,287,913,472,000,000
Divisor count
54
σ(n) — sum of divisors
285,138
φ(n) — Euler's totient
40,960
Sum of prime factors
43

Primality

Prime factorization: 2 8 × 5 2 × 17

Nearest primes: 108,799 (−1) · 108,803 (+3)

Divisors & multiples

All divisors (54)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 25 · 32 · 34 · 40 · 50 · 64 · 68 · 80 · 85 · 100 · 128 · 136 · 160 · 170 · 200 · 256 · 272 · 320 · 340 · 400 · 425 · 544 · 640 · 680 · 800 · 850 · 1088 · 1280 · 1360 · 1600 · 1700 · 2176 · 2720 · 3200 · 3400 · 4352 · 5440 · 6400 · 6800 · 10880 · 13600 · 21760 · 27200 · 54400 (half) · 108800
Aliquot sum (sum of proper divisors): 176,338
Factor pairs (a × b = 108,800)
1 × 108800
2 × 54400
4 × 27200
5 × 21760
8 × 13600
10 × 10880
16 × 6800
17 × 6400
20 × 5440
25 × 4352
32 × 3400
34 × 3200
40 × 2720
50 × 2176
64 × 1700
68 × 1600
80 × 1360
85 × 1280
100 × 1088
128 × 850
136 × 800
160 × 680
170 × 640
200 × 544
256 × 425
272 × 400
320 × 340
First multiples
108,800 · 217,600 (double) · 326,400 · 435,200 · 544,000 · 652,800 · 761,600 · 870,400 · 979,200 · 1,088,000

Sums & aliquot sequence

As a sum of two squares: 80² + 320² = 128² + 304² = 208² + 256²
As consecutive integers: 21,758 + 21,759 + 21,760 + 21,761 + 21,762 6,392 + 6,393 + … + 6,408 4,340 + 4,341 + … + 4,364 1,238 + 1,239 + … + 1,322
Aliquot sequence: 108,800 176,338 88,172 94,612 102,508 106,568 143,992 133,208 116,572 89,844 119,820 215,844 287,820 700,020 1,423,920 3,263,280 6,853,632 — unresolved within range

Continued fraction of √n

√108,800 = [329; (1, 5, 1, 1, 2, 25, 1, 163, 1, 25, 2, 1, 1, 5, 1, 658)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand eight hundred
Ordinal
108800th
Binary
11010100100000000
Octal
324400
Hexadecimal
0x1A900
Base64
AakA
One's complement
4,294,858,495 (32-bit)
Scientific notation
1.088 × 10⁵
In other bases
ternary (3) 12112020122
quaternary (4) 122210000
quinary (5) 11440200
senary (6) 2155412
septenary (7) 632126
nonary (9) 175218
undecimal (11) 7481a
duodecimal (12) 52b68
tridecimal (13) 3a6a3
tetradecimal (14) 2b916
pentadecimal (15) 22385
Palindromic in base 13

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρηωʹ
Mayan (base 20)
𝋭·𝋬·𝋠·𝋠
Chinese
一十萬八千八百
Chinese (financial)
壹拾萬捌仟捌佰
In other modern scripts
Eastern Arabic ١٠٨٨٠٠ Devanagari १०८८०० Bengali ১০৮৮০০ Tamil ௧௦௮௮௦௦ Thai ๑๐๘๘๐๐ Tibetan ༡༠༨༨༠༠ Khmer ១០៨៨០០ Lao ໑໐໘໘໐໐ Burmese ၁၀၈၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108800, here are decompositions:

  • 7 + 108793 = 108800
  • 31 + 108769 = 108800
  • 61 + 108739 = 108800
  • 73 + 108727 = 108800
  • 151 + 108649 = 108800
  • 157 + 108643 = 108800
  • 163 + 108637 = 108800
  • 229 + 108571 = 108800

Showing the first eight; more decompositions exist.

Hex color
#01A900
RGB(1, 169, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.0.

Address
0.1.169.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.169.0

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 108,800 and was likely granted around 1871.

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