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107957157 = 37111737743
BaseRepresentation
bin1100110111101…
…00101110100101
321112010210101020
412123310232211
5210114112112
614413521353
72450422620
oct633645645
9245123336
10107957157
1155a368a0
12301a3259
131949b599
14104a2db7
15972748c
hex66f4ba5

107957157 has 64 divisors (see below), whose sum is σ = 195416064. Its totient is φ = 51287040.

The previous prime is 107957117. The next prime is 107957173. The reversal of 107957157 is 751759701.

It is a happy number.

It is not a de Polignac number, because 107957157 - 211 = 107955109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107957117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144928 + ... + 145670.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2107957157 is an apocalyptic number.

107957157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

107957157 is a deficient number, since it is larger than the sum of its proper divisors (87458907).

107957157 is a wasteful number, since it uses less digits than its factorization.

107957157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818.

The product of its (nonzero) digits is 77175, while the sum is 42.

The square root of 107957157 is about 10390.2433561491. The cubic root of 107957157 is about 476.1573359440.

The spelling of 107957157 in words is "one hundred seven million, nine hundred fifty-seven thousand, one hundred fifty-seven".

Divisors: 1 3 7 11 17 21 33 37 51 77 111 119 187 231 259 357 407 561 629 743 777 1221 1309 1887 2229 2849 3927 4403 5201 6919 8173 8547 12631 13209 15603 20757 24519 27491 37893 48433 57211 82473 88417 138941 145299 171633 192437 265251 302401 416823 467347 577311 907203 972587 1402041 2116807 2917761 3271429 5140817 6350421 9814287 15422451 35985719 107957157