109624320 has 352 divisors, whose sum is σ = 426431040. Its totient is φ = 26542080.

The previous prime is 109624309. The next prime is 109624331. The reversal of 109624320 is 23426901.

109624320 is a `hidden beast` number, since 1 + 0 + 9 + 624 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (109624309) and next prime (109624331).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797090 + ... + 1797150.

Almost surely, 2^109624320 is an apocalyptic number.

109624320 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 109624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213215520).

109624320 is an abundant number, since it is smaller than the sum of its proper divisors (316806720).

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

109624320 is a wasteful number, since it uses less digits than its factorization.

109624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 109624320 is about 10470.1633225084. The cubic root of 109624320 is about 478.5958967006.

The spelling of 109624320 in words is "one hundred nine million, six hundred twenty-four thousand, three hundred twenty".