111009920 has 128 divisors (see below), whose sum is σ = 308448000. Its totient is φ = 37416960.

The previous prime is 111009907. The next prime is 111009923. The reversal of 111009920 is 29900111.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (111009923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317906 + ... + 318254.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^111009920 is an apocalyptic number.

111009920 is a gapful number since it is divisible by the number (10) 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 111009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

111009920 is an abundant number, since it is smaller than the sum of its proper divisors (197438080).

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

111009920 is an equidigital number, since it uses as much as digits as its factorization.

111009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 23.

The square root of 111009920 is about 10536.1245247007. The cubic root of 111009920 is about 480.6038696058.

The spelling of 111009920 in words is "one hundred eleven million, nine thousand, nine hundred twenty".