110116864 has 120 divisors (see below), whose sum is σ = 264233088. Its totient is φ = 45219840.

The previous prime is 110116859. The next prime is 110116873. The reversal of 110116864 is 468611011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2342889 + ... + 2342935.

Almost surely, 2^110116864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132116544).

110116864 is an abundant number, since it is smaller than the sum of its proper divisors (154116224).

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

110116864 is an equidigital number, since it uses as much as digits as its factorization.

110116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 110116864 is about 10493.6582753585. The cubic root of 110116864 is about 479.3116058009.

Adding to 110116864 its reverse (468611011), we get a palindrome (578727875).

The spelling of 110116864 in words is "one hundred ten million, one hundred sixteen thousand, eight hundred sixty-four".