109564928 has 88 divisors (see below), whose sum is σ = 244067904. Its totient is φ = 48742400.

The previous prime is 109564927. The next prime is 109564937. The reversal of 109564928 is 829465901.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109564927) 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, 799676 + ... + 799812.

Almost surely, 2^109564928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122033952).

109564928 is an abundant number, since it is smaller than the sum of its proper divisors (134502976).

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

109564928 is a wasteful number, since it uses less digits than its factorization.

109564928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 109564928 is about 10467.3266883192. The cubic root of 109564928 is about 478.5094502431.

The spelling of 109564928 in words is "one hundred nine million, five hundred sixty-four thousand, nine hundred twenty-eight".