111915216 has 240 divisors, whose sum is σ = 396938880. Its totient is φ = 29998080.

The previous prime is 111915203. The next prime is 111915229. The reversal of 111915216 is 612519111.

It is an interprime number because it is at equal distance from previous prime (111915203) and next prime (111915229).

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

It is a self number, because there is not a number n which added to its sum of digits gives 111915216.

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 47 ways as a sum of consecutive naturals, for example, 359701 + ... + 360011.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2^111915216 is an apocalyptic number.

111915216 is a gapful number since it is divisible by the number (16) 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 111915216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198469440).

111915216 is an abundant number, since it is smaller than the sum of its proper divisors (285023664).

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

111915216 is a wasteful number, since it uses less digits than its factorization.

111915216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its digits is 540, while the sum is 27.

The square root of 111915216 is about 10578.9988184138. The cubic root of 111915216 is about 481.9067902841.

The spelling of 111915216 in words is "one hundred eleven million, nine hundred fifteen thousand, two hundred sixteen".