111916820 has 24 divisors (see below), whose sum is σ = 242608128. Its totient is φ = 43322400.

The previous prime is 111916801. The next prime is 111916843. The reversal of 111916820 is 28619111.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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, 89636 + ... + 90875.

It is an arithmetic number, because the mean of its divisors is an integer number (10108672).

Almost surely, 2^111916820 is an apocalyptic number.

111916820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111916820 is an abundant number, since it is smaller than the sum of its proper divisors (130691308).

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

111916820 is a wasteful number, since it uses less digits than its factorization.

111916820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180551 (or 180549 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 29.

The square root of 111916820 is about 10579.0746287187. The cubic root of 111916820 is about 481.9090925471.

The spelling of 111916820 in words is "one hundred eleven million, nine hundred sixteen thousand, eight hundred twenty".