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107564431 = 138399689
BaseRepresentation
bin1100110100101…
…00110110001111
321111101211122211
412122110312033
5210014030211
614401251251
72444165632
oct632246617
9244354584
10107564431
1155798827
1230033b27
13193918c0
14103ddc19
15969ae21
hex6694d8f

107564431 has 8 divisors (see below), whose sum is σ = 117235440. Its totient is φ = 98092992.

The previous prime is 107564417. The next prime is 107564447. The reversal of 107564431 is 134465701.

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 107564431 - 29 = 107563919 is a prime.

It is a super-2 number, since 2×1075644312 = 23140213632707522, 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 = 107564393 and 107564402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107564531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48766 + ... + 50923.

It is an arithmetic number, because the mean of its divisors is an integer number (14654430).

Almost surely, 2107564431 is an apocalyptic number.

107564431 is a deficient number, since it is larger than the sum of its proper divisors (9671009).

107564431 is an equidigital number, since it uses as much as digits as its factorization.

107564431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99785.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 107564431 is about 10371.3273499586. The cubic root of 107564431 is about 475.5792468031.

The spelling of 107564431 in words is "one hundred seven million, five hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 13 83 1079 99689 1295957 8274187 107564431