111985016 has 64 divisors (see below), whose sum is σ = 249026400. Its totient is φ = 46928640.

The previous prime is 111984997. The next prime is 111985021. The reversal of 111985016 is 610589111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138020 + ... + 138828.

Almost surely, 2^111985016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111985016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124513200).

111985016 is an abundant number, since it is smaller than the sum of its proper divisors (137041384).

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

111985016 is a wasteful number, since it uses less digits than its factorization.

111985016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 32.

The square root of 111985016 is about 10582.2972931212. The cubic root of 111985016 is about 482.0069557027.

The spelling of 111985016 in words is "one hundred eleven million, nine hundred eighty-five thousand, sixteen".