110055904 has 72 divisors (see below), whose sum is σ = 261536688. Its totient is φ = 44651520.

The previous prime is 110055889. The next prime is 110055929. The reversal of 110055904 is 409550011.

It is a super-2 number, since 2×110055904² = 24224604010514432, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 80184 + ... + 81544.

It is an arithmetic number, because the mean of its divisors is an integer number (3632454).

Almost surely, 2^110055904 is an apocalyptic number.

110055904 is a gapful number since it is divisible by the number (14) 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 110055904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130768344).

110055904 is an abundant number, since it is smaller than the sum of its proper divisors (151480784).

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

110055904 is a wasteful number, since it uses less digits than its factorization.

110055904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 110055904 is about 10490.7532618016. The cubic root of 110055904 is about 479.2231415158.

The spelling of 110055904 in words is "one hundred ten million, fifty-five thousand, nine hundred four".