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106108146 = 23222072671
BaseRepresentation
bin1100101001100…
…01010011110010
321101122212000100
412110301103302
5204130430041
614310133230
72425622124
oct624612362
9241585010
10106108146
1154993691
122b651216
1318ca1ab1
1410141214
1594ae6b6
hex65314f2

106108146 has 24 divisors (see below), whose sum is σ = 230091264. Its totient is φ = 35340120.

The previous prime is 106108111. The next prime is 106108147. The reversal of 106108146 is 641801601.

106108146 is a `hidden beast` number, since 1 + 0 + 610 + 8 + 1 + 46 = 666.

It is a super-2 number, since 2×1061081462 = 22517877295114632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106108147) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 38391 + ... + 41061.

It is an arithmetic number, because the mean of its divisors is an integer number (9587136).

Almost surely, 2106108146 is an apocalyptic number.

106108146 is an abundant number, since it is smaller than the sum of its proper divisors (123983118).

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

106108146 is a wasteful number, since it uses less digits than its factorization.

106108146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 106108146 is about 10300.8808361227. The cubic root of 106108146 is about 473.4232423050.

Adding to 106108146 its reverse (641801601), we get a palindrome (747909747).

The spelling of 106108146 in words is "one hundred six million, one hundred eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 2207 2671 4414 5342 6621 8013 13242 16026 19863 24039 39726 48078 5894897 11789794 17684691 35369382 53054073 106108146