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102553425 = 33521322931
BaseRepresentation
bin1100001110011…
…01011101010001
321010222020212000
412013031131101
5202223202200
614102024213
72353455402
oct607153521
9233866760
10102553425
11529859a7
122a418069
1318328b00
14d8979a9
15900b300
hex61cd751

102553425 has 144 divisors (see below), whose sum is σ = 217843200. Its totient is φ = 47174400.

The previous prime is 102553417. The next prime is 102553447. The reversal of 102553425 is 524355201.

It is a happy number.

102553425 is a `hidden beast` number, since 102 + 5 + 534 + 25 = 666.

It is not a de Polignac number, because 102553425 - 23 = 102553417 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3308160 + ... + 3308190.

It is an arithmetic number, because the mean of its divisors is an integer number (1512800).

Almost surely, 2102553425 is an apocalyptic number.

102553425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102553425 is an abundant number, since it is smaller than the sum of its proper divisors (115289775).

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

102553425 is a wasteful number, since it uses less digits than its factorization.

102553425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 102553425 is about 10126.8664946271. The cubic root of 102553425 is about 468.0763764238.

The spelling of 102553425 in words is "one hundred two million, five hundred fifty-three thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 29 31 39 45 65 75 87 93 117 135 145 155 169 195 225 261 279 325 351 377 403 435 465 507 585 675 725 775 783 837 845 899 975 1131 1209 1305 1395 1521 1755 1885 2015 2175 2325 2535 2697 2925 3393 3627 3915 4185 4225 4495 4563 4901 5239 5655 6045 6525 6975 7605 8091 8775 9425 10075 10179 10881 11687 12675 13485 14703 15717 16965 18135 19575 20925 22475 22815 24273 24505 26195 28275 30225 35061 38025 40455 44109 47151 50895 54405 58435 67425 73515 78585 84825 90675 105183 114075 121365 122525 130975 132327 141453 151931 175305 202275 220545 235755 254475 272025 292175 315549 367575 392925 455793 525915 606825 661635 707265 759655 876525 1102725 1178775 1367379 1577745 2278965 2629575 3308175 3536325 3798275 4102137 6836895 7888725 11394825 20510685 34184475 102553425