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107095937 = 1317484597
BaseRepresentation
bin1100110001000…
…10011110000001
321110112001000012
412120202132001
5204404032222
614343234305
72440205024
oct630423601
9243461005
10107095937
11554a8843
122ba48995
13192595a0
141031b1bb
1596071e2
hex6622781

107095937 has 8 divisors (see below), whose sum is σ = 122118696. Its totient is φ = 93042432.

The previous prime is 107095909. The next prime is 107095943. The reversal of 107095937 is 739590701.

It can be written as a sum of positive squares in 4 ways, for example, as 9461776 + 97634161 = 3076^2 + 9881^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107095937 - 26 = 107095873 is a prime.

It is a super-2 number, since 2×1070959372 = 22939079443815938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107095894 and 107095903.

It is not an unprimeable number, because it can be changed into a prime (107095997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242078 + ... + 242519.

It is an arithmetic number, because the mean of its divisors is an integer number (15264837).

Almost surely, 2107095937 is an apocalyptic number.

107095937 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

107095937 is a deficient number, since it is larger than the sum of its proper divisors (15022759).

107095937 is a wasteful number, since it uses less digits than its factorization.

107095937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484627.

The product of its (nonzero) digits is 59535, while the sum is 41.

The square root of 107095937 is about 10348.7166837246. The cubic root of 107095937 is about 474.8877843876.

The spelling of 107095937 in words is "one hundred seven million, ninety-five thousand, nine hundred thirty-seven".

Divisors: 1 13 17 221 484597 6299761 8238149 107095937