111552 has 56 divisors (see below), whose sum is σ = 341376. Its totient is φ = 31488.

The previous prime is 111539. The next prime is 111577. The reversal of 111552 is 255111.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 111552.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1303 + ... + 1385.

It is an arithmetic number, because the mean of its divisors is an integer number (6096).

2¹¹¹⁵⁵² is an apocalyptic number.

111552 is a gapful number since it is divisible by the number (12) 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 111552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688).

111552 is an abundant number, since it is smaller than the sum of its proper divisors (229824).

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

111552 is an equidigital number, since it uses as much as digits as its factorization.

111552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its digits is 50, while the sum is 15.

The square root of 111552 is about 333.9940119224. The cubic root of 111552 is about 48.1384889382.

Adding to 111552 its reverse (255111), we get a palindrome (366663).

The spelling of 111552 in words is "one hundred eleven thousand, five hundred fifty-two".