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102556104 = 233717149241
BaseRepresentation
bin1100001110011…
…10000111001000
321010222101112020
412013032013020
5202223243404
614102044440
72353466250
oct607160710
9233871466
10102556104
1152987a12
122a419720
131832a0b1
14d898960
15900bed9
hex61ce1c8

102556104 has 128 divisors (see below), whose sum is σ = 313632000. Its totient is φ = 27279360.

The previous prime is 102556099. The next prime is 102556109. The reversal of 102556104 is 401655201.

It is an interprime number because it is at equal distance from previous prime (102556099) and next prime (102556109).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102556109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425424 + ... + 425664.

It is an arithmetic number, because the mean of its divisors is an integer number (2450250).

Almost surely, 2102556104 is an apocalyptic number.

102556104 is a gapful number since it is divisible by the number (14) 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 102556104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156816000).

102556104 is an abundant number, since it is smaller than the sum of its proper divisors (211075896).

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

102556104 is a wasteful number, since it uses less digits than its factorization.

102556104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 102556104 is about 10126.9987656758. The cubic root of 102556104 is about 468.0804522366.

The spelling of 102556104 in words is "one hundred two million, five hundred fifty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 149 168 204 238 241 298 357 408 447 476 482 596 714 723 894 952 964 1043 1192 1428 1446 1687 1788 1928 2086 2533 2856 2892 3129 3374 3576 4097 4172 5061 5066 5784 6258 6748 7599 8194 8344 10122 10132 12291 12516 13496 15198 16388 17731 20244 20264 24582 25032 28679 30396 32776 35462 35909 40488 49164 53193 57358 60792 70924 71818 86037 98328 106386 107727 114716 141848 143636 172074 212772 215454 229432 251363 287272 344148 425544 430908 502726 610453 688296 754089 861816 1005452 1220906 1508178 1831359 2010904 2441812 3016356 3662718 4273171 4883624 6032712 7325436 8546342 12819513 14650872 17092684 25639026 34185368 51278052 102556104