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107681315 = 57171371321
BaseRepresentation
bin1100110101100…
…01011000100011
321111121202222212
412122301120203
5210031300230
614403552335
72445163460
oct632613043
9244552885
10107681315
1155868625
123008b6ab
1319402b71
1410430667
1596c0895
hex66b1623

107681315 has 32 divisors (see below), whose sum is σ = 157624704. Its totient is φ = 68935680.

The previous prime is 107681243. The next prime is 107681317. The reversal of 107681315 is 513186701.

It is not a de Polignac number, because 107681315 - 216 = 107615779 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107681317) 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 31 ways as a sum of consecutive naturals, for example, 80855 + ... + 82175.

It is an arithmetic number, because the mean of its divisors is an integer number (4925772).

Almost surely, 2107681315 is an apocalyptic number.

107681315 is a deficient number, since it is larger than the sum of its proper divisors (49943389).

107681315 is a wasteful number, since it uses less digits than its factorization.

107681315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 107681315 is about 10376.9607785710. The cubic root of 107681315 is about 475.7514458647.

The spelling of 107681315 in words is "one hundred seven million, six hundred eighty-one thousand, three hundred fifteen".

Divisors: 1 5 7 17 35 85 119 137 595 685 959 1321 2329 4795 6605 9247 11645 16303 22457 46235 81515 112285 157199 180977 785995 904885 1266839 3076609 6334195 15383045 21536263 107681315