111920904 has 48 divisors (see below), whose sum is σ = 305080620. Its totient is φ = 37065600.

The previous prime is 111920867. The next prime is 111920951. The reversal of 111920904 is 409029111.

It can be written as a sum of positive squares in 2 ways, for example, as 108118404 + 3802500 = 10398^2 + 1950^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6354 + ... + 16254.

Almost surely, 2^111920904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111920904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152540310).

111920904 is an abundant number, since it is smaller than the sum of its proper divisors (193159716).

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

111920904 is a wasteful number, since it uses less digits than its factorization.

111920904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10070 (or 10063 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 111920904 is about 10579.2676495115. The cubic root of 111920904 is about 481.9149543196.

The spelling of 111920904 in words is "one hundred eleven million, nine hundred twenty thousand, nine hundred four".