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104559104 = 291323683
BaseRepresentation
bin1100011101101…
…11001000000000
321021202011010102
412032313020000
5203231342404
614213021532
72406511016
oct616671000
9237664112
10104559104
1154025891
122b0248a8
131887b9c0
14dc5a8b6
1592a571e
hex63b7200

104559104 has 80 divisors (see below), whose sum is σ = 235109952. Its totient is φ = 46092288.

The previous prime is 104559083. The next prime is 104559149. The reversal of 104559104 is 401955401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152747 + ... + 153429.

Almost surely, 2104559104 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 104559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

104559104 is an abundant number, since it is smaller than the sum of its proper divisors (130550848).

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

104559104 is an equidigital number, since it uses as much as digits as its factorization.

104559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 104559104 is about 10225.4146126208. The cubic root of 104559104 is about 471.1081502392.

The spelling of 104559104 in words is "one hundred four million, five hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 683 736 832 1196 1366 1472 1664 2392 2732 2944 3328 4784 5464 5888 6656 8879 9568 10928 11776 15709 17758 19136 21856 31418 35516 38272 43712 62836 71032 76544 87424 125672 142064 153088 174848 204217 251344 284128 349696 408434 502688 568256 816868 1005376 1136512 1633736 2010752 2273024 3267472 4021504 4546048 6534944 8043008 13069888 26139776 52279552 104559104