109793376 has 144 divisors (see below), whose sum is σ = 389346048. Its totient is φ = 28512000.

The previous prime is 109793353. The next prime is 109793389. The reversal of 109793376 is 673397901.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19701 + ... + 24651.

It is an arithmetic number, because the mean of its divisors is an integer number (2703792).

Almost surely, 2^109793376 is an apocalyptic number.

109793376 is a gapful number since it is divisible by the number (16) 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 109793376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194673024).

109793376 is an abundant number, since it is smaller than the sum of its proper divisors (279552672).

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

109793376 is a wasteful number, since it uses less digits than its factorization.

109793376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 109793376 is about 10478.2334388961. The cubic root of 109793376 is about 478.8417908971.

The spelling of 109793376 in words is "one hundred nine million, seven hundred ninety-three thousand, three hundred seventy-six".