110385114 has 64 divisors (see below), whose sum is σ = 272284416. Its totient is φ = 29113344.

The previous prime is 110385089. The next prime is 110385137. The reversal of 110385114 is 411583011.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36384 + ... + 39300.

It is an arithmetic number, because the mean of its divisors is an integer number (4254444).

Almost surely, 2^110385114 is an apocalyptic number.

110385114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110385114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136142208).

110385114 is an abundant number, since it is smaller than the sum of its proper divisors (161899302).

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

110385114 is a wasteful number, since it uses less digits than its factorization.

110385114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999.

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 110385114 is about 10506.4320299519. The cubic root of 110385114 is about 479.7004989259.

The spelling of 110385114 in words is "one hundred ten million, three hundred eighty-five thousand, one hundred fourteen".