111350816 has 48 divisors (see below), whose sum is σ = 235146240. Its totient is φ = 51717120.

The previous prime is 111350809. The next prime is 111350821. The reversal of 111350816 is 618053111.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41681 + ... + 44271.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2^111350816 is an apocalyptic number.

111350816 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 111350816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120).

111350816 is an abundant number, since it is smaller than the sum of its proper divisors (123795424).

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

111350816 is a wasteful number, since it uses less digits than its factorization.

111350816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 111350816 is about 10552.2896093691. The cubic root of 111350816 is about 481.0953227315.

The spelling of 111350816 in words is "one hundred eleven million, three hundred fifty thousand, eight hundred sixteen".