109564320 has 192 divisors, whose sum is σ = 378846720. Its totient is φ = 26492928.

The previous prime is 109564277. The next prime is 109564327. The reversal of 109564320 is 23465901.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (109564327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236409 + ... + 236871.

It is an arithmetic number, because the mean of its divisors is an integer number (1973160).

Almost surely, 2^109564320 is an apocalyptic number.

109564320 is a gapful number since it is divisible by the number (10) 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 109564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189423360).

109564320 is an abundant number, since it is smaller than the sum of its proper divisors (269282400).

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

109564320 is a wasteful number, since it uses less digits than its factorization.

109564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 109564320 is about 10467.2976455244. The cubic root of 109564320 is about 478.5085651233.

The spelling of 109564320 in words is "one hundred nine million, five hundred sixty-four thousand, three hundred twenty".