110916416 has 56 divisors (see below), whose sum is σ = 245257320. Its totient is φ = 49416192.

The previous prime is 110916383. The next prime is 110916467. The reversal of 110916416 is 614619011.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 110670400 = 496^2 + 10520^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

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, 21830 + ... + 26426.

It is an arithmetic number, because the mean of its divisors is an integer number (4379595).

Almost surely, 2^110916416 is an apocalyptic number.

110916416 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 110916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122628660).

110916416 is an abundant number, since it is smaller than the sum of its proper divisors (134340904).

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

110916416 is a wasteful number, since it uses less digits than its factorization.

110916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4651 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 110916416 is about 10531.6862847314. The cubic root of 110916416 is about 480.4688936584.

The spelling of 110916416 in words is "one hundred ten million, nine hundred sixteen thousand, four hundred sixteen".