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107187057 = 3817312
BaseRepresentation
bin1100110001110…
…00101101110001
321110200200000000
412120320231301
5204414441212
614345220213
72441034465
oct630705561
9243620000
10107187057
115556024a
122ba91669
131928bbc3
14103424a5
1596241dc
hex6638b71

107187057 has 54 divisors (see below), whose sum is σ = 175898034. Its totient is φ = 65085120.

The previous prime is 107187029. The next prime is 107187071. The reversal of 107187057 is 750781701.

It can be written as a sum of positive squares in only one way, i.e., 100881936 + 6305121 = 10044^2 + 2511^2 .

It is not a de Polignac number, because 107187057 - 26 = 107186993 is a prime.

It is a super-2 number, since 2×1071870572 = 22978130376642498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107187077) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3457632 + ... + 3457662.

It is an arithmetic number, because the mean of its divisors is an integer number (3257371).

Almost surely, 2107187057 is an apocalyptic number.

107187057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

107187057 is a deficient number, since it is larger than the sum of its proper divisors (68710977).

107187057 is an frugal number, since it uses more digits than its factorization.

107187057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 36.

The square root of 107187057 is about 10353.1182259259. The cubic root of 107187057 is about 475.0224284885.

The spelling of 107187057 in words is "one hundred seven million, one hundred eighty-seven thousand, fifty-seven".

Divisors: 1 3 9 17 27 31 51 81 93 153 243 279 459 527 729 837 961 1377 1581 2187 2511 2883 4131 4743 6561 7533 8649 12393 14229 16337 22599 25947 37179 42687 49011 67797 77841 111537 128061 147033 203391 233523 384183 441099 700569 1152549 1323297 2101707 3457647 3969891 6305121 11909673 35729019 107187057