111361140 has 108 divisors (see below), whose sum is σ = 371368452. Its totient is φ = 26991360.

The previous prime is 111361139. The next prime is 111361153. The reversal of 111361140 is 41163111.

111361140 is a `hidden beast` number, since 1 + 1 + 13 + 611 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14653584 + 96707556 = 3828^2 + 9834^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19224 + ... + 24336.

Almost surely, 2^111361140 is an apocalyptic number.

111361140 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 111361140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185684226).

111361140 is an abundant number, since it is smaller than the sum of its proper divisors (260007312).

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

111361140 is a wasteful number, since it uses less digits than its factorization.

111361140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 111361140 is about 10552.7787809657. The cubic root of 111361140 is about 481.1101906800.

The spelling of 111361140 in words is "one hundred eleven million, three hundred sixty-one thousand, one hundred forty".