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107016612 = 223291811699
BaseRepresentation
bin1100110000011…
…11000110100100
321110101000012020
412120033012210
5204344012422
614341423140
72436424533
oct630170644
9243330166
10107016612
115545418a
122ba0aab0
131922c451
14102da31a
1595dd95c
hex660f1a4

107016612 has 48 divisors (see below), whose sum is σ = 259896000. Its totient is φ = 34231680.

The previous prime is 107016587. The next prime is 107016629. The reversal of 107016612 is 216610701.

It is a super-2 number, since 2×1070166122 = 22905110487917088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62139 + ... + 63837.

It is an arithmetic number, because the mean of its divisors is an integer number (5414500).

Almost surely, 2107016612 is an apocalyptic number.

107016612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107016612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129948000).

107016612 is an abundant number, since it is smaller than the sum of its proper divisors (152879388).

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

107016612 is a wasteful number, since it uses less digits than its factorization.

107016612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 107016612 is about 10344.8833729530. The cubic root of 107016612 is about 474.7705070531.

The spelling of 107016612 in words is "one hundred seven million, sixteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 181 348 362 543 724 1086 1699 2172 3398 5097 5249 6796 10194 10498 15747 20388 20996 31494 49271 62988 98542 147813 197084 295626 307519 591252 615038 922557 1230076 1845114 3690228 8918051 17836102 26754153 35672204 53508306 107016612