111900 has 36 divisors (see below), whose sum is σ = 324632. Its totient is φ = 29760.

The previous prime is 111893. The next prime is 111913. The reversal of 111900 is 9111.

It is a super-2 number, since 2×111900² = 25043220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

111900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114 + ... + 486.

2¹¹¹⁹⁰⁰ is an apocalyptic number.

111900 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 111900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162316).

111900 is an abundant number, since it is smaller than the sum of its proper divisors (212732).

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

111900 is a wasteful number, since it uses less digits than its factorization.

111900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 111900 is about 334.5145736736. The cubic root of 111900 is about 48.1884949268.

The spelling of 111900 in words is "one hundred eleven thousand, nine hundred".