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105374464 = 281331663
BaseRepresentation
bin1100100011111…
…10001100000000
321100021120120221
412101332030000
5203433440324
614242312424
72416445116
oct621761400
9240246527
10105374464
1154532438
122b358714
1318aa5b70
14ddcdab6
1593b70e4
hex647e300

105374464 has 36 divisors (see below), whose sum is σ = 226524256. Its totient is φ = 48632832.

The previous prime is 105374419. The next prime is 105374471. The reversal of 105374464 is 464473501.

It is a super-2 number, since 2×1053744642 = 22207555326574592, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 12504 + ... + 19159.

Almost surely, 2105374464 is an apocalyptic number.

It is an amenable number.

105374464 is an abundant number, since it is smaller than the sum of its proper divisors (121149792).

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

105374464 is an equidigital number, since it uses as much as digits as its factorization.

105374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31692 (or 31678 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 105374464 is about 10265.2064762478. The cubic root of 105374464 is about 472.3295601309.

The spelling of 105374464 in words is "one hundred five million, three hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 31663 63326 126652 253304 411619 506608 823238 1013216 1646476 2026432 3292952 4052864 6585904 8105728 13171808 26343616 52687232 105374464