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106,088

106,088 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.).

106,088 (one hundred six thousand eighty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 89 × 149. Written other ways, in hexadecimal, 0x19E68.

Deficient Number Flippable Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
880,601
Flips to (rotate 180°)
880,901
Recamán's sequence
a(88,747) = 106,088
Square (n²)
11,254,663,744
Cube (n³)
1,193,984,767,273,472
Divisor count
16
σ(n) — sum of divisors
202,500
φ(n) — Euler's totient
52,096
Sum of prime factors
244

Primality

Prime factorization: 2 3 × 89 × 149

Nearest primes: 106,087 (−1) · 106,103 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 89 · 149 · 178 · 298 · 356 · 596 · 712 · 1192 · 13261 · 26522 · 53044 (half) · 106088
Aliquot sum (sum of proper divisors): 96,412
Factor pairs (a × b = 106,088)
1 × 106088
2 × 53044
4 × 26522
8 × 13261
89 × 1192
149 × 712
178 × 596
298 × 356
First multiples
106,088 · 212,176 (double) · 318,264 · 424,352 · 530,440 · 636,528 · 742,616 · 848,704 · 954,792 · 1,060,880

Sums & aliquot sequence

As a sum of two squares: 122² + 302² = 218² + 242²
As consecutive integers: 6,623 + 6,624 + … + 6,638 1,148 + 1,149 + … + 1,236 638 + 639 + … + 786
Aliquot sequence: 106,088 → 96,412 → 72,316 → 56,204 → 42,160 → 64,976 → 65,968 → 92,752 → 121,520 → 217,744 → 218,736 → 516,336 → 864,528 → 1,801,968 → 3,721,488 → 6,611,184 → 12,500,688 — unresolved within range

Continued fraction of √n

√106,088 = [325; (1, 2, 2, 6, 1, 37, 2, 4, 1, 8, 9, 2, 6, 1, 12, 1, 161, 1, 12, 1, 6, 2, 9, 8, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand eighty-eight
Ordinal
106088th
Binary
11001111001101000
Octal
317150
Hexadecimal
0x19E68
Base64
AZ5o
One's complement
4,294,861,207 (32-bit)
Scientific notation
1.06088 × 10⁵
As a duration
106,088 s = 1 day, 5 hours, 28 minutes, 8 seconds
In other bases
ternary (3) 12101112012
quaternary (4) 121321220
quinary (5) 11343323
senary (6) 2135052
septenary (7) 621203
nonary (9) 171465
undecimal (11) 72784
duodecimal (12) 51488
tridecimal (13) 39398
tetradecimal (14) 2a93a
pentadecimal (15) 21678

As an angle

106,088° = 294 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛπηʹ
Mayan (base 20)
𝋭·𝋥·𝋤·𝋨
Chinese
十萬六千零八十八
Chinese (financial)
壹拾萬陸仟零捌拾捌
In other modern scripts
Eastern Arabic ١٠٦٠٨٨ Devanagari १०६०८८ Bengali ১০৬০৮৮ Tamil ௧௦௬௦௮௮ Thai ๑๐๖๐๘๘ Tibetan ༡༠༦༠༨༨ Khmer ១០៦០៨៨ Lao ໑໐໖໐໘໘ Burmese ၁၀၆၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106088, here are decompositions:

  • 181 + 105907 = 106088
  • 271 + 105817 = 106088
  • 337 + 105751 = 106088
  • 397 + 105691 = 106088
  • 421 + 105667 = 106088
  • 439 + 105649 = 106088
  • 487 + 105601 = 106088
  • 547 + 105541 = 106088

Showing the first eight; more decompositions exist.

Hex color
#019E68
RGB(1, 158, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.104.

Address
0.1.158.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.158.104

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 106,088 and was likely granted around 1870.

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

Related reading

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