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106153364 = 2291129131
BaseRepresentation
bin1100101001111…
…00010110010100
321101202011001002
412110330112110
5204133401424
614311122432
72426201012
oct624742624
9241664032
10106153364
1154a14659
122b673418
1318cb9555
14101538b2
1594bccae
hex653c594

106153364 has 12 divisors (see below), whose sum is σ = 185978688. Its totient is φ = 53016600.

The previous prime is 106153363. The next prime is 106153379. The reversal of 106153364 is 463351601.

It is a happy number.

It is a super-2 number, since 2×1061533642 = 22537073377032992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106153363) 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 3 ways as a sum of consecutive naturals, for example, 10922 + ... + 18209.

It is an arithmetic number, because the mean of its divisors is an integer number (15498224).

Almost surely, 2106153364 is an apocalyptic number.

It is an amenable number.

106153364 is a deficient number, since it is larger than the sum of its proper divisors (79825324).

106153364 is a wasteful number, since it uses less digits than its factorization.

106153364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30046 (or 30044 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 106153364 is about 10303.0754631809. The cubic root of 106153364 is about 473.4904825462.

The spelling of 106153364 in words is "one hundred six million, one hundred fifty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 911 1822 3644 29131 58262 116524 26538341 53076682 106153364