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107081685 = 3258926737
BaseRepresentation
bin1100110000111…
…10111111010101
321110111022110100
412120132333111
5204403103220
614343044313
72440115334
oct630367725
9243438410
10107081685
1155499067
122ba40699
1319252c59
1410315d1b
159602d90
hex661efd5

107081685 has 24 divisors (see below), whose sum is σ = 187700760. Its totient is φ = 56466432.

The previous prime is 107081683. The next prime is 107081687. The reversal of 107081685 is 586180701.

It is an interprime number because it is at equal distance from previous prime (107081683) and next prime (107081687).

It can be written as a sum of positive squares in 4 ways, for example, as 6260004 + 100821681 = 2502^2 + 10041^2 .

It is not a de Polignac number, because 107081685 - 21 = 107081683 is a prime.

It is a super-2 number, since 2×1070816852 = 22932974524878450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107081683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9364 + ... + 17373.

It is an arithmetic number, because the mean of its divisors is an integer number (7820865).

Almost surely, 2107081685 is an apocalyptic number.

107081685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107081685 is a deficient number, since it is larger than the sum of its proper divisors (80619075).

107081685 is a wasteful number, since it uses less digits than its factorization.

107081685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26837 (or 26834 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 107081685 is about 10348.0280730195. The cubic root of 107081685 is about 474.8667179147.

The spelling of 107081685 in words is "one hundred seven million, eighty-one thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 45 89 267 445 801 1335 4005 26737 80211 133685 240633 401055 1203165 2379593 7138779 11897965 21416337 35693895 107081685