110055120 has 160 divisors (see below), whose sum is σ = 394141440. Its totient is φ = 24883200.

The previous prime is 110055097. The next prime is 110055181. The reversal of 110055120 is 21550011.

It is a super-2 number, since 2×110055120² = 24224258876428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110055120.

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, 182820 + ... + 183420.

It is an arithmetic number, because the mean of its divisors is an integer number (2463384).

Almost surely, 2^110055120 is an apocalyptic number.

110055120 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 110055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197070720).

110055120 is an abundant number, since it is smaller than the sum of its proper divisors (284086320).

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

110055120 is a wasteful number, since it uses less digits than its factorization.

110055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 110055120 is about 10490.7158954954. The cubic root of 110055120 is about 479.2220035734. Note that the first 3 decimals are identical.

The spelling of 110055120 in words is "one hundred ten million, fifty-five thousand, one hundred twenty".