109912320 has 432 divisors, whose sum is σ = 459164160. Its totient is φ = 23740416.

The previous prime is 109912303. The next prime is 109912337. The reversal of 109912320 is 23219901.

It is an interprime number because it is at equal distance from previous prime (109912303) and next prime (109912337).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338537 + ... + 2338583.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880).

Almost surely, 2^109912320 is an apocalyptic number.

109912320 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 109912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229582080).

109912320 is an abundant number, since it is smaller than the sum of its proper divisors (349251840).

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

109912320 is a wasteful number, since it uses less digits than its factorization.

109912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 109912320 is about 10483.9076684221. The cubic root of 109912320 is about 479.0146452927.

The spelling of 109912320 in words is "one hundred nine million, nine hundred twelve thousand, three hundred twenty".