111804 has 48 divisors (see below), whose sum is σ = 327936. Its totient is φ = 29040.

The previous prime is 111799. The next prime is 111821. The reversal of 111804 is 408111.

111804 = T₇₅ + T₇₆ + ... + T₁₀₂.

111804 = 7² + 8² + ... + 69².

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10159 + ... + 10169.

It is an arithmetic number, because the mean of its divisors is an integer number (6832).

2¹¹¹⁸⁰⁴ is an apocalyptic number.

111804 is a gapful number since it is divisible by the number (14) 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 111804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163968).

111804 is an abundant number, since it is smaller than the sum of its proper divisors (216132).

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

111804 is a wasteful number, since it uses less digits than its factorization.

111804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 111804 is about 334.3710513786. The cubic root of 111804 is about 48.1747105388.

Adding to 111804 its reverse (408111), we get a palindrome (519915).

The spelling of 111804 in words is "one hundred eleven thousand, eight hundred four".