111520 has 48 divisors (see below), whose sum is σ = 285768. Its totient is φ = 40960.

The previous prime is 111509. The next prime is 111521. The reversal of 111520 is 25111.

It is a happy number.

111520 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 35344 = 276^2 + 188^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111497 and 111506.

It is not an unprimeable number, because it can be changed into a prime (111521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2700 + ... + 2740.

2¹¹¹⁵²⁰ is an apocalyptic number.

111520 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 111520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142884).

111520 is an abundant number, since it is smaller than the sum of its proper divisors (174248).

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

111520 is a wasteful number, since it uses less digits than its factorization.

111520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 111520 is about 333.9461034359. The cubic root of 111520 is about 48.1338854679.

Adding to 111520 its reverse (25111), we get a palindrome (136631).

The spelling of 111520 in words is "one hundred eleven thousand, five hundred twenty".