110617668 has 72 divisors (see below), whose sum is σ = 321642048. Its totient is φ = 31399488.

The previous prime is 110617613. The next prime is 110617673. The reversal of 110617668 is 866716011.

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

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 23 ways as a sum of consecutive naturals, for example, 39730 + ... + 42422.

Almost surely, 2^110617668 is an apocalyptic number.

110617668 is a gapful number since it is divisible by the number (18) 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 110617668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160821024).

110617668 is an abundant number, since it is smaller than the sum of its proper divisors (211024380).

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

110617668 is a wasteful number, since it uses less digits than its factorization.

110617668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 110617668 is about 10517.4934276186. The cubic root of 110617668 is about 480.0371325440.

The spelling of 110617668 in words is "one hundred ten million, six hundred seventeen thousand, six hundred sixty-eight".