111880 has 16 divisors (see below), whose sum is σ = 251820. Its totient is φ = 44736.

The previous prime is 111871. The next prime is 111893. The reversal of 111880 is 88111.

It can be written as a sum of positive squares in 2 ways, for example, as 111556 + 324 = 334^2 + 18^2 .

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, 1359 + ... + 1438.

2¹¹¹⁸⁸⁰ is an apocalyptic number.

111880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111880 is an abundant number, since it is smaller than the sum of its proper divisors (139940).

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

111880 is a wasteful number, since it uses less digits than its factorization.

111880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

The square root of 111880 is about 334.4846782739. The cubic root of 111880 is about 48.1856238296.

Adding to 111880 its reverse (88111), we get a palindrome (199991).

It can be divided in two parts, 11 and 1880, that added together give a triangular number (1891 = T₆₁).

The spelling of 111880 in words is "one hundred eleven thousand, eight hundred eighty".