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106165392 = 2432211779
BaseRepresentation
bin1100101001111…
…11010010010000
321101202202112120
412110333102100
5204134243032
614311254240
72426251044
oct624772220
9241682476
10106165392
1154a226a3
122b67a380
1318cc1b78
1410158024
1594c162c
hex653f490

106165392 has 20 divisors (see below), whose sum is σ = 274260720. Its totient is φ = 35388448.

The previous prime is 106165373. The next prime is 106165417. The reversal of 106165392 is 293561601.

It is a happy number.

It is a super-2 number, since 2×1061653922 = 22542180917027328, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1105842 + ... + 1105937.

It is an arithmetic number, because the mean of its divisors is an integer number (13713036).

Almost surely, 2106165392 is an apocalyptic number.

106165392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106165392 is an abundant number, since it is smaller than the sum of its proper divisors (168095328).

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

106165392 is a wasteful number, since it uses less digits than its factorization.

106165392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211790 (or 2211784 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 106165392 is about 10303.6591558533. The cubic root of 106165392 is about 473.5083652529.

The spelling of 106165392 in words is "one hundred six million, one hundred sixty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2211779 4423558 6635337 8847116 13270674 17694232 26541348 35388464 53082696 106165392