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107656900 = 22521382813
BaseRepresentation
bin1100110101010…
…11011011000100
321111120112111121
412122223123010
5210030010100
614403243324
72445032341
oct632533304
9244515447
10107656900
115585124a
1230079544
13193c4a10
14104257c8
1596b851a
hex66ab6c4

107656900 has 36 divisors (see below), whose sum is σ = 251588932. Its totient is φ = 39749760.

The previous prime is 107656897. The next prime is 107656919. The reversal of 107656900 is 9656701.

It can be written as a sum of positive squares in 6 ways, for example, as 5080516 + 102576384 = 2254^2 + 10128^2 .

It is a super-2 number, since 2×1076569002 = 23180016235220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40107 + ... + 42706.

Almost surely, 2107656900 is an apocalyptic number.

107656900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107656900 is an abundant number, since it is smaller than the sum of its proper divisors (143932032).

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

107656900 is a wasteful number, since it uses less digits than its factorization.

107656900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82840 (or 82833 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 107656900 is about 10375.7843077042. The cubic root of 107656900 is about 475.7154868266.

The spelling of 107656900 in words is "one hundred seven million, six hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 82813 165626 331252 414065 828130 1076569 1656260 2070325 2153138 4140650 4306276 5382845 8281300 10765690 21531380 26914225 53828450 107656900