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106191012 = 22353166967
BaseRepresentation
bin1100101010001…
…01100010100100
321101211001200110
412111011202210
5204141103022
614312013020
72426415534
oct625054244
9241731613
10106191012
1154a3a974
122b691170
1319000725
14101634c4
1594c900c
hex65458a4

106191012 has 24 divisors (see below), whose sum is σ = 252455616. Its totient is φ = 34728928.

The previous prime is 106190971. The next prime is 106191031. The reversal of 106191012 is 210191601.

It is a super-2 number, since 2×1061910122 = 22553062059168288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106191012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82848 + ... + 84119.

It is an arithmetic number, because the mean of its divisors is an integer number (10518984).

Almost surely, 2106191012 is an apocalyptic number.

106191012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106191012 is an abundant number, since it is smaller than the sum of its proper divisors (146264604).

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

106191012 is a wasteful number, since it uses less digits than its factorization.

106191012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167027 (or 167025 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 106191012 is about 10304.9023285037. The cubic root of 106191012 is about 473.5464514515.

The spelling of 106191012 in words is "one hundred six million, one hundred ninety-one thousand, twelve".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 166967 333934 500901 667868 1001802 2003604 8849251 17698502 26547753 35397004 53095506 106191012