108564 has 24 divisors (see below), whose sum is σ = 258720. Its totient is φ = 35424.

The previous prime is 108557. The next prime is 108571. The reversal of 108564 is 465801.

It is an interprime number because it is at equal distance from previous prime (108557) and next prime (108571).

It is a super-2 number, since 2×108564² = 23572284192, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 942 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (10780).

2¹⁰⁸⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

108564 is an abundant number, since it is smaller than the sum of its proper divisors (150156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108564 is a wasteful number, since it uses less digits than its factorization.

108564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 108564 is about 329.4905157967. The cubic root of 108564 is about 47.7047852835.

The spelling of 108564 in words is "one hundred eight thousand, five hundred sixty-four".