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106,860

106,860 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.).

106,860 (one hundred six thousand eight hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 13 × 137. Its proper divisors sum to 217,716, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A16C.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
68,601
Flips to (rotate 180°)
98,901
Recamán's sequence
a(81,775) = 106,860
Square (n²)
11,419,059,600
Cube (n³)
1,220,240,708,856,000
Divisor count
48
σ(n) — sum of divisors
324,576
φ(n) — Euler's totient
26,112
Sum of prime factors
162

Primality

Prime factorization: 2 2 × 3 × 5 × 13 × 137

Nearest primes: 106,859 (−1) · 106,861 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 13 · 15 · 20 · 26 · 30 · 39 · 52 · 60 · 65 · 78 · 130 · 137 · 156 · 195 · 260 · 274 · 390 · 411 · 548 · 685 · 780 · 822 · 1370 · 1644 · 1781 · 2055 · 2740 · 3562 · 4110 · 5343 · 7124 · 8220 · 8905 · 10686 · 17810 · 21372 · 26715 · 35620 · 53430 (half) · 106860
Aliquot sum (sum of proper divisors): 217,716
Factor pairs (a × b = 106,860)
1 × 106860
2 × 53430
3 × 35620
4 × 26715
5 × 21372
6 × 17810
10 × 10686
12 × 8905
13 × 8220
15 × 7124
20 × 5343
26 × 4110
30 × 3562
39 × 2740
52 × 2055
60 × 1781
65 × 1644
78 × 1370
130 × 822
137 × 780
156 × 685
195 × 548
260 × 411
274 × 390
First multiples
106,860 · 213,720 (double) · 320,580 · 427,440 · 534,300 · 641,160 · 748,020 · 854,880 · 961,740 · 1,068,600

Sums & aliquot sequence

As consecutive integers: 35,619 + 35,620 + 35,621 21,370 + 21,371 + 21,372 + 21,373 + 21,374 13,354 + 13,355 + … + 13,361 8,214 + 8,215 + … + 8,226
Aliquot sequence: 106,860 → 217,716 → 290,316 → 439,588 → 329,698 → 193,994 → 97,000 → 132,320 → 180,664 → 189,056 → 243,424 → 235,880 → 294,940 → 324,476 → 243,364 → 221,324 → 166,000 — unresolved within range

Continued fraction of √n

√106,860 = [326; (1, 8, 2, 10, 4, 10, 2, 8, 1, 652)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand eight hundred sixty
Ordinal
106860th
Binary
11010000101101100
Octal
320554
Hexadecimal
0x1A16C
Base64
AaFs
One's complement
4,294,860,435 (32-bit)
Scientific notation
1.0686 × 10⁵
As a duration
106,860 s = 1 day, 5 hours, 41 minutes
In other bases
ternary (3) 12102120210
quaternary (4) 122011230
quinary (5) 11404420
senary (6) 2142420
septenary (7) 623355
nonary (9) 172523
undecimal (11) 73316
duodecimal (12) 51a10
tridecimal (13) 39840
tetradecimal (14) 2ad2c
pentadecimal (15) 219e0

As an angle

106,860° = 296 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρϛωξʹ
Mayan (base 20)
𝋭·𝋧·𝋣·𝋠
Chinese
十萬六千八百六十
Chinese (financial)
壹拾萬陸仟捌佰陸拾
In other modern scripts
Eastern Arabic ١٠٦٨٦٠ Devanagari १०६८६० Bengali ১০৬৮৬০ Tamil ௧௦௬௮௬௦ Thai ๑๐๖๘๖๐ Tibetan ༡༠༦༨༦༠ Khmer ១០៦៨៦០ Lao ໑໐໖໘໖໐ Burmese ၁၀၆၈၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106860, here are decompositions:

  • 7 + 106853 = 106860
  • 37 + 106823 = 106860
  • 59 + 106801 = 106860
  • 73 + 106787 = 106860
  • 79 + 106781 = 106860
  • 101 + 106759 = 106860
  • 107 + 106753 = 106860
  • 109 + 106751 = 106860

Showing the first eight; more decompositions exist.

Hex color
#01A16C
RGB(1, 161, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.108.

Address
0.1.161.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.161.108

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 106,860 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.