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106165808 = 2471039203
BaseRepresentation
bin1100101001111…
…11011000110000
321101202210002222
412110333120300
5204134301213
614311300212
72426252210
oct624773060
9241683088
10106165808
1154a22a41
122b67a668
1318cc2108
1410158240
1594c1808
hex653f630

106165808 has 40 divisors (see below), whose sum is σ = 237389568. Its totient is φ = 45052992.

The previous prime is 106165789. The next prime is 106165823. The reversal of 106165808 is 808561601.

It is a super-2 number, since 2×1061658082 = 22542357576585728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6935 + ... + 16137.

Almost surely, 2106165808 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 106165808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118694784).

106165808 is an abundant number, since it is smaller than the sum of its proper divisors (131223760).

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

106165808 is a wasteful number, since it uses less digits than its factorization.

106165808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9321 (or 9315 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 106165808 is about 10303.6793428367. The cubic root of 106165808 is about 473.5089837195.

The spelling of 106165808 in words is "one hundred six million, one hundred sixty-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 1442 1648 2884 5768 9203 11536 18406 36812 64421 73624 128842 147248 257684 515368 947909 1030736 1895818 3791636 6635363 7583272 13270726 15166544 26541452 53082904 106165808