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106375164 = 22371266371
BaseRepresentation
bin1100101011100…
…10011111111100
321102011102021220
412111302133330
5204213001124
614315553340
72431113450
oct625623774
9242142256
10106375164
1155056265
122b75b850
13190664ac
14101b0660
159513879
hex65727fc

106375164 has 24 divisors (see below), whose sum is σ = 283667328. Its totient is φ = 30392880.

The previous prime is 106375153. The next prime is 106375177. The reversal of 106375164 is 461573601.

It is a super-2 number, since 2×1063751642 = 22631351032053792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633102 + ... + 633269.

It is an arithmetic number, because the mean of its divisors is an integer number (11819472).

Almost surely, 2106375164 is an apocalyptic number.

106375164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106375164 is an abundant number, since it is smaller than the sum of its proper divisors (177292164).

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

106375164 is a wasteful number, since it uses less digits than its factorization.

106375164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266385 (or 1266383 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 106375164 is about 10313.8336228582. The cubic root of 106375164 is about 473.8200281701.

The spelling of 106375164 in words is "one hundred six million, three hundred seventy-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1266371 2532742 3799113 5065484 7598226 8864597 15196452 17729194 26593791 35458388 53187582 106375164