110990880 has 648 divisors, whose sum is σ = 521542476. Its totient is φ = 21288960.

The previous prime is 110990849. The next prime is 110990897. The reversal of 110990880 is 88099011.

It can be written as a sum of positive squares in 2 ways, for example, as 103306896 + 7683984 = 10164^2 + 2772^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8537754 + ... + 8537766.

Almost surely, 2^110990880 is an apocalyptic number.

110990880 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 110990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260771238).

110990880 is an abundant number, since it is smaller than the sum of its proper divisors (410551596).

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

110990880 is a wasteful number, since it uses less digits than its factorization.

110990880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 110990880 is about 10535.2209279160. The cubic root of 110990880 is about 480.5763909178.

The spelling of 110990880 in words is "one hundred ten million, nine hundred ninety thousand, eight hundred eighty".