109938976 has 48 divisors (see below), whose sum is σ = 248742144. Its totient is φ = 46854144.

The previous prime is 109938967. The next prime is 109939021. The reversal of 109938976 is 679839901.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41961 + ... + 44503.

It is an arithmetic number, because the mean of its divisors is an integer number (5182128).

Almost surely, 2^109938976 is an apocalyptic number.

109938976 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 109938976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124371072).

109938976 is an abundant number, since it is smaller than the sum of its proper divisors (138803168).

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

109938976 is a wasteful number, since it uses less digits than its factorization.

109938976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 52.

The square root of 109938976 is about 10485.1788730570. The cubic root of 109938976 is about 479.0533657998.

The spelling of 109938976 in words is "one hundred nine million, nine hundred thirty-eight thousand, nine hundred seventy-six".