107564 has 6 divisors (see below), whose sum is σ = 188244. Its totient is φ = 53780.

The previous prime is 107563. The next prime is 107581. The reversal of 107564 is 465701.

107564 is nontrivially palindromic in base 14.

107564 is an undulating number in base 14.

It is not an unprimeable number, because it can be changed into a prime (107563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13442 + ... + 13449.

It is an arithmetic number, because the mean of its divisors is an integer number (31374).

2¹⁰⁷⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

107564 is a deficient number, since it is larger than the sum of its proper divisors (80680).

107564 is a wasteful number, since it uses less digits than its factorization.

107564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26895 (or 26893 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 107564 is about 327.9695107781. The cubic root of 107564 is about 47.5578611603.

The spelling of 107564 in words is "one hundred seven thousand, five hundred sixty-four".