110055960 has 288 divisors, whose sum is σ = 441754560. Its totient is φ = 23611392.

The previous prime is 110055941. The next prime is 110055971. The reversal of 110055960 is 69550011.

110055960 is a `hidden beast` number, since 1 + 100 + 559 + 6 + 0 = 666.

It is a super-2 number, since 2×110055960² = 24224628663043200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299697 + ... + 300063.

It is an arithmetic number, because the mean of its divisors is an integer number (1533870).

Almost surely, 2^110055960 is an apocalyptic number.

110055960 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 110055960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220877280).

110055960 is an abundant number, since it is smaller than the sum of its proper divisors (331698600).

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

110055960 is a wasteful number, since it uses less digits than its factorization.

110055960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 110055960 is about 10490.7559308183. The cubic root of 110055960 is about 479.2232227972.

The spelling of 110055960 in words is "one hundred ten million, fifty-five thousand, nine hundred sixty".