111516642 has 64 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 36256464.

The previous prime is 111516623. The next prime is 111516653. The reversal of 111516642 is 246615111.

111516642 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 16 + 642 = 666.

It is a super-2 number, since 2×111516642² = 24871922885912328, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622909 + ... + 623087.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^111516642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111516642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

111516642 is an abundant number, since it is smaller than the sum of its proper divisors (142499358).

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

111516642 is a wasteful number, since it uses less digits than its factorization.

111516642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 111516642 is about 10560.1440331086. The cubic root of 111516642 is about 481.3340234019.

The spelling of 111516642 in words is "one hundred eleven million, five hundred sixteen thousand, six hundred forty-two".