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105,840

105,840 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 Harshad / Niven Recamán's Sequence

Properties

Parity
Even
Digit count
6
Digit sum
18
Digital root
9
Palindrome
No
Reversed
48,501
Recamán's sequence
a(42,699) = 105,840
Divisor count
120
σ(n) — sum of divisors
424,080

Primality

Prime factorization: 2 4 × 3 3 × 5 × 7 2

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 27 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 48 · 49 · 54 · 56 · 60 · 63 · 70 · 72 · 80 · 84 · 90 · 98 · 105 · 108 · 112 · 120 · 126 · 135 · 140 · 144 · 147 · 168 · 180 · 189 · 196 · 210 · 216 · 240 · 245 · 252 · 270 · 280 · 294 · 315 · 336 · 360 · 378 · 392 · 420 · 432 · 441 · 490 · 504 · 540 · 560 · 588 · 630 · 720 · 735 · 756 · 784 · 840 · 882 · 945 · 980 · 1008 · 1080 · 1176 · 1260 · 1323 · 1470 · 1512 · 1680 · 1764 · 1890 · 1960 · 2160 · 2205 · 2352 · 2520 · 2646 · 2940 · 3024 · 3528 · 3780 · 3920 · 4410 · 5040 · 5292 · 5880 · 6615 · 7056 · 7560 · 8820 · 10584 · 11760 · 13230 · 15120 · 17640 · 21168 · 26460 · 35280 · 52920 · 105840
Aliquot sum (sum of proper divisors): 318,240
Factor pairs (a × b = 105,840)
1 × 105840
2 × 52920
3 × 35280
4 × 26460
5 × 21168
6 × 17640
7 × 15120
8 × 13230
9 × 11760
10 × 10584
12 × 8820
14 × 7560
15 × 7056
16 × 6615
18 × 5880
20 × 5292
21 × 5040
24 × 4410
27 × 3920
28 × 3780
30 × 3528
35 × 3024
36 × 2940
40 × 2646
42 × 2520
45 × 2352
48 × 2205
49 × 2160
54 × 1960
56 × 1890
60 × 1764
63 × 1680
70 × 1512
72 × 1470
80 × 1323
84 × 1260
90 × 1176
98 × 1080
105 × 1008
108 × 980
112 × 945
120 × 882
126 × 840
135 × 784
140 × 756
144 × 735
147 × 720
168 × 630
180 × 588
189 × 560
196 × 540
210 × 504
216 × 490
240 × 441
245 × 432
252 × 420
270 × 392
280 × 378
294 × 360
315 × 336
First multiples
105,840 · 211,680 · 317,520 · 423,360 · 529,200 · 635,040 · 740,880 · 846,720 · 952,560 · 1,058,400

Representations

In words
one hundred five thousand eight hundred forty
Ordinal
105840th
Binary
11001110101110000
Octal
316560
Hexadecimal
0x19D70
Base64
AZ1w

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105840, here are decompositions:

  • 11 + 105829 = 105840
  • 23 + 105817 = 105840
  • 71 + 105769 = 105840
  • 73 + 105767 = 105840
  • 79 + 105761 = 105840
  • 89 + 105751 = 105840
  • 107 + 105733 = 105840
  • 113 + 105727 = 105840

Showing the first eight; more decompositions exist.

Hex color
#019D70
RGB(1, 157, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.157.112.

Address
0.1.157.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.157.112

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 105,840 and was likely granted around 1870.

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000105840
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.