109982307904 has 224 divisors, whose sum is σ = 271832832000. Its totient is φ = 44033955840.

The previous prime is 109982307889. The next prime is 109982307917. The reversal of 109982307904 is 409703289901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×109982307904² (a number of 23 digits) contains 22 as substring.

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, 19732062 + ... + 19737634.

Almost surely, 2^109982307904 is an apocalyptic number.

109982307904 is a gapful number since it is divisible by the number (14) 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 109982307904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135916416000).

109982307904 is an abundant number, since it is smaller than the sum of its proper divisors (161850524096).

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

109982307904 is an equidigital number, since it uses as much as digits as its factorization.

109982307904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 109982307904 in words is "one hundred nine billion, nine hundred eighty-two million, three hundred seven thousand, nine hundred four".