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104925904 = 24171979257
BaseRepresentation
bin1100100000100…
…00101011010000
321022102210021121
412100100223100
5203330112104
614224532024
72412566266
oct620205320
9238383247
10104925904
1154256426
122b181014
1318979945
14dd14436
159329254
hex6410ad0

104925904 has 80 divisors (see below), whose sum is σ = 230342400. Its totient is φ = 46006272.

The previous prime is 104925841. The next prime is 104925911. The reversal of 104925904 is 409529401.

It is a super-2 number, since 2×1049259042 = 22018890660434432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 104925904.

It is a congruent number.

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, 408144 + ... + 408400.

It is an arithmetic number, because the mean of its divisors is an integer number (2879280).

Almost surely, 2104925904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104925904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115171200).

104925904 is an abundant number, since it is smaller than the sum of its proper divisors (125416496).

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

104925904 is a wasteful number, since it uses less digits than its factorization.

104925904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 104925904 is about 10243.3346132985. The cubic root of 104925904 is about 471.6583997741.

The spelling of 104925904 in words is "one hundred four million, nine hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 79 136 152 158 257 272 304 316 323 514 632 646 1028 1264 1292 1343 1501 2056 2584 2686 3002 4112 4369 4883 5168 5372 6004 8738 9766 10744 12008 17476 19532 20303 21488 24016 25517 34952 39064 40606 51034 69904 78128 81212 83011 102068 162424 166022 204136 324848 332044 345151 385757 408272 664088 690302 771514 1328176 1380604 1543028 2761208 3086056 5522416 6172112 6557869 13115738 26231476 52462952 104925904