110079216 has 160 divisors (see below), whose sum is σ = 360601920. Its totient is φ = 31850496.

The previous prime is 110079187. The next prime is 110079239. The reversal of 110079216 is 612970011.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 110079216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94896 + ... + 96048.

It is an arithmetic number, because the mean of its divisors is an integer number (2253762).

Almost surely, 2^110079216 is an apocalyptic number.

110079216 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 110079216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180300960).

110079216 is an abundant number, since it is smaller than the sum of its proper divisors (250522704).

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

110079216 is a wasteful number, since it uses less digits than its factorization.

110079216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 110079216 is about 10491.8642766669. The cubic root of 110079216 is about 479.2569754153.

The spelling of 110079216 in words is "one hundred ten million, seventy-nine thousand, two hundred sixteen".