111528 has 24 divisors (see below), whose sum is σ = 302250. Its totient is φ = 37152.

The previous prime is 111521. The next prime is 111533. The reversal of 111528 is 825111.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 10404 = 318^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 111528.

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 5 ways as a sum of consecutive naturals, for example, 703 + ... + 846.

2¹¹¹⁵²⁸ is an apocalyptic number.

111528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

111528 is an abundant number, since it is smaller than the sum of its proper divisors (190722).

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

111528 is a wasteful number, since it uses less digits than its factorization.

111528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1554 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 111528 is about 333.9580812018. The cubic root of 111528 is about 48.1350364180.

Adding to 111528 its reverse (825111), we get a palindrome (936639).

The spelling of 111528 in words is "one hundred eleven thousand, five hundred twenty-eight".