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107066372 = 22721673271
BaseRepresentation
bin1100110000110…
…11010000000100
321110110112110012
412120123100010
5204402110442
614342445352
72440022600
oct630332004
9243415405
10107066372
1155488606
122ba33858
1319248caa
1410310500
1595ed582
hex661b404

107066372 has 36 divisors (see below), whose sum is σ = 219328704. Its totient is φ = 45596880.

The previous prime is 107066371. The next prime is 107066381. The reversal of 107066372 is 273660701.

It is a super-2 number, since 2×1070663722 = 22926416026484768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107066371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31097 + ... + 34367.

It is an arithmetic number, because the mean of its divisors is an integer number (6092464).

Almost surely, 2107066372 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 107066372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109664352).

107066372 is an abundant number, since it is smaller than the sum of its proper divisors (112262332).

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

107066372 is a wasteful number, since it uses less digits than its factorization.

107066372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 107066372 is about 10347.2881471427. The cubic root of 107066372 is about 474.8440810504.

The spelling of 107066372 in words is "one hundred seven million, sixty-six thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 167 196 334 668 1169 2338 3271 4676 6542 8183 13084 16366 22897 32732 45794 91588 160279 320558 546257 641116 1092514 2185028 3823799 7647598 15295196 26766593 53533186 107066372