109792320 has 224 divisors, whose sum is σ = 391948416. Its totient is φ = 25804800.

The previous prime is 109792261. The next prime is 109792343. The reversal of 109792320 is 23297901.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 390580 + ... + 390860.

Almost surely, 2^109792320 is an apocalyptic number.

109792320 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 109792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195974208).

109792320 is an abundant number, since it is smaller than the sum of its proper divisors (282156096).

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

109792320 is a wasteful number, since it uses less digits than its factorization.

109792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 109792320 is about 10478.1830486015. The cubic root of 109792320 is about 478.8402557148.

The spelling of 109792320 in words is "one hundred nine million, seven hundred ninety-two thousand, three hundred twenty".