109564 has 36 divisors (see below), whose sum is σ = 245784. Its totient is φ = 42336.

The previous prime is 109547. The next prime is 109567. The reversal of 109564 is 465901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2527 + ... + 2569.

2¹⁰⁹⁵⁶⁴ is an apocalyptic number.

109564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122892).

109564 is an abundant number, since it is smaller than the sum of its proper divisors (136220).

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

109564 is a wasteful number, since it uses less digits than its factorization.

109564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 109564 is about 331.0045316910. The cubic root of 109564 is about 47.8508099269.

The spelling of 109564 in words is "one hundred nine thousand, five hundred sixty-four".