111904 has 24 divisors (see below), whose sum is σ = 238140. Its totient is φ = 51456.

The previous prime is 111893. The next prime is 111913. The reversal of 111904 is 409111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 21904 = 300^2 + 148^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 282 + ... + 550.

2¹¹¹⁹⁰⁴ 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 111904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119070).

111904 is an abundant number, since it is smaller than the sum of its proper divisors (126236).

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

111904 is a wasteful number, since it uses less digits than its factorization.

111904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 111904 is about 334.5205524329. The cubic root of 111904 is about 48.1890691052.

The spelling of 111904 in words is "one hundred eleven thousand, nine hundred four".