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107152605 = 3357149761
BaseRepresentation
bin1100110001100…
…00010011011101
321110121220202000
412120300103131
5204412340410
614344352513
72440532160
oct630602335
9243556660
10107152605
115553737a
122ba75739
1319279311
1410333ad7
159618dc0
hex66304dd

107152605 has 64 divisors (see below), whose sum is σ = 219456000. Its totient is φ = 48591360.

The previous prime is 107152601. The next prime is 107152613. The reversal of 107152605 is 506251701.

107152605 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 52 + 605 = 666.

It is not a de Polignac number, because 107152605 - 22 = 107152601 is a prime.

It is a super-2 number, since 2×1071526052 = 22963361516572050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107152601) 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 63 ways as a sum of consecutive naturals, for example, 140425 + ... + 141185.

It is an arithmetic number, because the mean of its divisors is an integer number (3429000).

Almost surely, 2107152605 is an apocalyptic number.

107152605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107152605 is an abundant number, since it is smaller than the sum of its proper divisors (112303395).

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

107152605 is a wasteful number, since it uses less digits than its factorization.

107152605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 107152605 is about 10351.4542456604. The cubic root of 107152605 is about 474.9715292261.

The spelling of 107152605 in words is "one hundred seven million, one hundred fifty-two thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 149 189 315 447 745 761 945 1043 1341 2235 2283 3129 3805 4023 5215 5327 6705 6849 9387 11415 15645 15981 20115 20547 26635 28161 34245 46935 47943 79905 102735 113389 140805 143829 239715 340167 566945 719145 793723 1020501 1700835 2381169 3061503 3968615 5102505 7143507 11905845 15307515 21430521 35717535 107152605