111940 has 24 divisors (see below), whose sum is σ = 244440. Its totient is φ = 43008.

The previous prime is 111919. The next prime is 111949. The reversal of 111940 is 49111.

Added to its reverse (49111) it gives a 5-th power (161051 = 11⁵).

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 107584 = 66^2 + 328^2 .

It is not an unprimeable number, because it can be changed into a prime (111949) 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, 484 + ... + 676.

It is an arithmetic number, because the mean of its divisors is an integer number (10185).

2¹¹¹⁹⁴⁰ is an apocalyptic number.

111940 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 111940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122220).

111940 is an abundant number, since it is smaller than the sum of its proper divisors (132500).

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

111940 is a wasteful number, since it uses less digits than its factorization.

111940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 111940 is about 334.5743564591. The cubic root of 111940 is about 48.1942360950.

Adding to 111940 its reverse (49111), we get a 5-th power (161051 = 11⁵).

The spelling of 111940 in words is "one hundred eleven thousand, nine hundred forty".