111105960 has 128 divisors (see below), whose sum is σ = 394156800. Its totient is φ = 24514560.

The previous prime is 111105919. The next prime is 111105961. The reversal of 111105960 is 69501111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 111105960.

It is not an unprimeable number, because it can be changed into a prime (111105961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22080 + ... + 26640.

It is an arithmetic number, because the mean of its divisors is an integer number (3079350).

Almost surely, 2^111105960 is an apocalyptic number.

111105960 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 111105960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197078400).

111105960 is an abundant number, since it is smaller than the sum of its proper divisors (283050840).

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

111105960 is a wasteful number, since it uses less digits than its factorization.

111105960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4611 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 24.

The square root of 111105960 is about 10540.6811924088. The cubic root of 111105960 is about 480.7424274665.

The spelling of 111105960 in words is "one hundred eleven million, one hundred five thousand, nine hundred sixty".