111642 has 16 divisors (see below), whose sum is σ = 233280. Its totient is φ = 35552.

The previous prime is 111641. The next prime is 111653. The reversal of 111642 is 246111.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 111642.

It is not an unprimeable number, because it can be changed into a prime (111641) 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, 267 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2¹¹¹⁶⁴² is an apocalyptic number.

111642 is an abundant number, since it is smaller than the sum of its proper divisors (121638).

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

111642 is a wasteful number, since it uses less digits than its factorization.

111642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837.

The product of its digits is 48, while the sum is 15.

The square root of 111642 is about 334.1287177122. The cubic root of 111642 is about 48.1514314804.

Adding to 111642 its reverse (246111), we get a palindrome (357753).

It can be divided in two parts, 11 and 1642, that added together give a triangular number (1653 = T₅₇).

The spelling of 111642 in words is "one hundred eleven thousand, six hundred forty-two".