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104901024 = 25331101349
BaseRepresentation
bin1100100000010…
…10100110100000
321022101112011010
412100022212200
5203323313044
614224220520
72412433614
oct620124640
9238345133
10104901024
1154239768
122b16a740
131896b517
14dd09344
159321bb9
hex640a9a0

104901024 has 96 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 33408000.

The previous prime is 104900987. The next prime is 104901047. The reversal of 104901024 is 420109401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1049010242 = 22008449672497152, which contains 22 as substring.

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, 300402 + ... + 300750.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800).

Almost surely, 2104901024 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 104901024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

104901024 is an abundant number, since it is smaller than the sum of its proper divisors (182983776).

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

104901024 is a wasteful number, since it uses less digits than its factorization.

104901024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 104901024 is about 10242.1200930276. The cubic root of 104901024 is about 471.6211169927.

The spelling of 104901024 in words is "one hundred four million, nine hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 101 124 186 202 248 303 349 372 404 496 606 698 744 808 992 1047 1212 1396 1488 1616 2094 2424 2792 2976 3131 3232 4188 4848 5584 6262 8376 9393 9696 10819 11168 12524 16752 18786 21638 25048 32457 33504 35249 37572 43276 50096 64914 70498 75144 86552 100192 105747 129828 140996 150288 173104 211494 259656 281992 300576 346208 422988 519312 563984 845976 1038624 1092719 1127968 1691952 2185438 3278157 3383904 4370876 6556314 8741752 13112628 17483504 26225256 34967008 52450512 104901024