109657152 has 168 divisors, whose sum is σ = 356140512. Its totient is φ = 33177600.

The previous prime is 109657139. The next prime is 109657153. The reversal of 109657152 is 251756901.

It is a super-2 number, since 2×109657152² = 24049381969502208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109657153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170752 + ... + 171392.

It is an arithmetic number, because the mean of its divisors is an integer number (2119884).

Almost surely, 2^109657152 is an apocalyptic number.

109657152 is a gapful number since it is divisible by the number (12) 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 109657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178070256).

109657152 is an abundant number, since it is smaller than the sum of its proper divisors (246483360).

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

109657152 is an equidigital number, since it uses as much as digits as its factorization.

109657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 109657152 is about 10471.7310889843. The cubic root of 109657152 is about 478.6436710511.

The spelling of 109657152 in words is "one hundred nine million, six hundred fifty-seven thousand, one hundred fifty-two".