109793880 has 320 divisors, whose sum is σ = 434903040. Its totient is φ = 24323328.

The previous prime is 109793863. The next prime is 109793891. The reversal of 109793880 is 88397901.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1065909 + ... + 1066011.

It is an arithmetic number, because the mean of its divisors is an integer number (1359072).

Almost surely, 2^109793880 is an apocalyptic number.

109793880 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 109793880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217451520).

109793880 is an abundant number, since it is smaller than the sum of its proper divisors (325109160).

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

109793880 is a wasteful number, since it uses less digits than its factorization.

109793880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 109793880 is about 10478.2574887240. The cubic root of 109793880 is about 478.8425235943.

The spelling of 109793880 in words is "one hundred nine million, seven hundred ninety-three thousand, eight hundred eighty".