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106159256 = 23729131499
BaseRepresentation
bin1100101001111…
…01110010011000
321101202110010022
412110331302120
5204134044011
614311210012
72426224130
oct624756230
9241673108
10106159256
1154a19025
122b676908
1318cbc138
1410155ac0
1594be8db
hex653dc98

106159256 has 64 divisors (see below), whose sum is σ = 237600000. Its totient is φ = 43505280.

The previous prime is 106159223. The next prime is 106159297. The reversal of 106159256 is 652951601.

It is a super-2 number, since 2×1061592562 = 22539575268947072, which contains 22 as substring.

It is a congruent number.

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, 212495 + ... + 212993.

It is an arithmetic number, because the mean of its divisors is an integer number (3712500).

Almost surely, 2106159256 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 106159256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118800000).

106159256 is an abundant number, since it is smaller than the sum of its proper divisors (131440744).

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

106159256 is a wasteful number, since it uses less digits than its factorization.

106159256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 106159256 is about 10303.3613932541. The cubic root of 106159256 is about 473.4992426841.

The spelling of 106159256 in words is "one hundred six million, one hundred fifty-nine thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 131 203 232 262 406 499 524 812 917 998 1048 1624 1834 1996 3493 3668 3799 3992 6986 7336 7598 13972 14471 15196 26593 27944 28942 30392 53186 57884 65369 101297 106372 115768 130738 202594 212744 261476 405188 457583 522952 810376 915166 1830332 1895701 3660664 3791402 7582804 13269907 15165608 26539814 53079628 106159256