109188864 has 72 divisors (see below), whose sum is σ = 322911120. Its totient is φ = 36393984.

The previous prime is 109188853. The next prime is 109188869. The reversal of 109188864 is 468881901.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×109188864² = 23844416043220992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109188869) 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, 987 + ... + 14810.

Almost surely, 2^109188864 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 109188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161455560).

109188864 is an abundant number, since it is smaller than the sum of its proper divisors (213722256).

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

109188864 is an equidigital number, since it uses as much as digits as its factorization.

109188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15822 (or 15802 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 109188864 is about 10449.3475394400. The cubic root of 109188864 is about 477.9613537612.

The spelling of 109188864 in words is "one hundred nine million, one hundred eighty-eight thousand, eight hundred sixty-four".