111144960 has 260 divisors, whose sum is σ = 404373288. Its totient is φ = 29196288.

The previous prime is 111144953. The next prime is 111144991. The reversal of 111144960 is 69441111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658847 + ... + 1658913.

Almost surely, 2^111144960 is an apocalyptic number.

111144960 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 111144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202186644).

111144960 is an abundant number, since it is smaller than the sum of its proper divisors (293228328).

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

111144960 is an frugal number, since it uses more digits than its factorization.

111144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 111144960 is about 10542.5310054085. The cubic root of 111144960 is about 480.7986703581.

The spelling of 111144960 in words is "one hundred eleven million, one hundred forty-four thousand, nine hundred sixty".