109982976 has 72 divisors (see below), whose sum is σ = 296985024. Its totient is φ = 36126720.

The previous prime is 109982959. The next prime is 109983007. The reversal of 109982976 is 679289901.

It is a happy number.

It is a congruent number.

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, 53520 + ... + 55536.

It is an arithmetic number, because the mean of its divisors is an integer number (4124792).

Almost surely, 2^109982976 is an apocalyptic number.

109982976 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 109982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148492512).

109982976 is an abundant number, since it is smaller than the sum of its proper divisors (187002048).

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

109982976 is an equidigital number, since it uses as much as digits as its factorization.

109982976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 109982976 is about 10487.2768629421. The cubic root of 109982976 is about 479.1172665123.

The spelling of 109982976 in words is "one hundred nine million, nine hundred eighty-two thousand, nine hundred seventy-six".