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107056344 = 233171312003
BaseRepresentation
bin1100110000110…
…00110011011000
321110110000200210
412120120303120
5204401300334
614342331120
72436651423
oct630306330
9243400623
10107056344
115548101a
122ba29aa0
1319244565
141030a9ba
1595ea5e9
hex6618cd8

107056344 has 64 divisors (see below), whose sum is σ = 285690240. Its totient is φ = 33313280.

The previous prime is 107056337. The next prime is 107056349. The reversal of 107056344 is 443650701.

It is a super-2 number, since 2×1070563442 = 22922121581292672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107056349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52447 + ... + 54449.

It is an arithmetic number, because the mean of its divisors is an integer number (4463910).

Almost surely, 2107056344 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 107056344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142845120).

107056344 is an abundant number, since it is smaller than the sum of its proper divisors (178633896).

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

107056344 is a wasteful number, since it uses less digits than its factorization.

107056344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 107056344 is about 10346.8035643864. The cubic root of 107056344 is about 474.8292557135.

The spelling of 107056344 in words is "one hundred seven million, fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 131 136 204 262 393 408 524 786 1048 1572 2003 2227 3144 4006 4454 6009 6681 8012 8908 12018 13362 16024 17816 24036 26724 34051 48072 53448 68102 102153 136204 204306 262393 272408 408612 524786 787179 817224 1049572 1574358 2099144 3148716 4460681 6297432 8921362 13382043 17842724 26764086 35685448 53528172 107056344