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106279124 = 22722317021
BaseRepresentation
bin1100101010110…
…11000011010100
321101222112112212
412111123003110
5204201412444
614313532552
72430233450
oct625330324
9241875485
10106279124
1154aa0096
122b714158
1319031873
1410187660
1594e519e
hex655b0d4

106279124 has 24 divisors (see below), whose sum is σ = 213523968. Its totient is φ = 45341280.

The previous prime is 106279111. The next prime is 106279127. The reversal of 106279124 is 421972601.

It is a happy number.

It is a super-2 number, since 2×1062791242 = 22590504396414752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106279127) 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 7 ways as a sum of consecutive naturals, for example, 2267 + ... + 14754.

It is an arithmetic number, because the mean of its divisors is an integer number (8896832).

Almost surely, 2106279124 is an apocalyptic number.

106279124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106279124 is an abundant number, since it is smaller than the sum of its proper divisors (107244844).

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

106279124 is a wasteful number, since it uses less digits than its factorization.

106279124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17255 (or 17253 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 106279124 is about 10309.1766887565. The cubic root of 106279124 is about 473.6773903103.

The spelling of 106279124 in words is "one hundred six million, two hundred seventy-nine thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 223 446 892 1561 3122 6244 17021 34042 68084 119147 238294 476588 3795683 7591366 15182732 26569781 53139562 106279124