109887792 has 120 divisors (see below), whose sum is σ = 347745600. Its totient is φ = 29731968.

The previous prime is 109887787. The next prime is 109887809. The reversal of 109887792 is 297788901.

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, 43459 + ... + 45917.

It is an arithmetic number, because the mean of its divisors is an integer number (2897880).

Almost surely, 2^109887792 is an apocalyptic number.

109887792 is a gapful number since it is divisible by the number (12) 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 109887792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173872800).

109887792 is an abundant number, since it is smaller than the sum of its proper divisors (237857808).

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

109887792 is a wasteful number, since it uses less digits than its factorization.

109887792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The square root of 109887792 is about 10482.7378103242. The cubic root of 109887792 is about 478.9790103874.

The spelling of 109887792 in words is "one hundred nine million, eight hundred eighty-seven thousand, seven hundred ninety-two".