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107158644 = 22328335863
BaseRepresentation
bin1100110001100…
…01110001110100
321110122020000200
412120301301310
5204413034034
614344440500
72440555605
oct630616164
9243566020
10107158644
115554096a
122ba79130
131927bca8
1410335dac
15961aa99
hex6631c74

107158644 has 36 divisors (see below), whose sum is σ = 274144416. Its totient is φ = 35288208.

The previous prime is 107158643. The next prime is 107158669. The reversal of 107158644 is 446851701.

It is a happy number.

107158644 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 5 + 8 + 644 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1071586442 = 22965949967837472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107158599 and 107158608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107158643) 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, 14944 + ... + 20919.

Almost surely, 2107158644 is an apocalyptic number.

It is an amenable number.

107158644 is an abundant number, since it is smaller than the sum of its proper divisors (166985772).

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

107158644 is a wasteful number, since it uses less digits than its factorization.

107158644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35956 (or 35951 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 107158644 is about 10351.7459396954. The cubic root of 107158644 is about 474.9804520118.

The spelling of 107158644 in words is "one hundred seven million, one hundred fifty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 35863 71726 107589 143452 215178 322767 430356 645534 1291068 2976629 5953258 8929887 11906516 17859774 26789661 35719548 53579322 107158644