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103160112 = 24311474157
BaseRepresentation
bin1100010011000…
…01100100110000
321012010002001220
412021201210300
5202402110422
614123025040
72361563226
oct611414460
9235102056
10103160112
115325a7a0
122a66b180
13184abcb3
14d9b4b16
1590cae5c
hex6261930

103160112 has 80 divisors (see below), whose sum is σ = 296980992. Its totient is φ = 30588160.

The previous prime is 103160093. The next prime is 103160137. The reversal of 103160112 is 211061301.

It is a junction number, because it is equal to n+sod(n) for n = 103160091 and 103160100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22738 + ... + 26894.

Almost surely, 2103160112 is an apocalyptic number.

103160112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103160112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148490496).

103160112 is an abundant number, since it is smaller than the sum of its proper divisors (193820880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103160112 is a wasteful number, since it uses less digits than its factorization.

103160112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 103160112 is about 10156.7766540374. The cubic root of 103160112 is about 468.9975798615.

The spelling of 103160112 in words is "one hundred three million, one hundred sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 752 1034 1128 1551 2068 2256 3102 4136 4157 6204 8272 8314 12408 12471 16628 24816 24942 33256 45727 49884 66512 91454 99768 137181 182908 195379 199536 274362 365816 390758 548724 586137 731632 781516 1097448 1172274 1563032 2149169 2194896 2344548 3126064 4298338 4689096 6447507 8596676 9378192 12895014 17193352 25790028 34386704 51580056 103160112