110916960 has 192 divisors, whose sum is σ = 435746304. Its totient is φ = 23040000.

The previous prime is 110916943. The next prime is 110916973. The reversal of 110916960 is 69619011.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 35460 + ... + 38460.

It is an arithmetic number, because the mean of its divisors is an integer number (2269512).

Almost surely, 2^110916960 is an apocalyptic number.

110916960 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 110916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217873152).

110916960 is an abundant number, since it is smaller than the sum of its proper divisors (324829344).

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

110916960 is a wasteful number, since it uses less digits than its factorization.

110916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 110916960 is about 10531.7121115230. The cubic root of 110916960 is about 480.4696791588.

The spelling of 110916960 in words is "one hundred ten million, nine hundred sixteen thousand, nine hundred sixty".