110068900 has 54 divisors (see below), whose sum is σ = 252164850. Its totient is φ = 41696640.

The previous prime is 110068859. The next prime is 110068901. The reversal of 110068900 is 9860011.

It can be written as a sum of positive squares in 3 ways, for example, as 70756 + 109998144 = 266^2 + 10488^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (110068901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34576 + ... + 37624.

Almost surely, 2^110068900 is an apocalyptic number.

110068900 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 110068900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126082425).

110068900 is an abundant number, since it is smaller than the sum of its proper divisors (142095950).

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

110068900 is a wasteful number, since it uses less digits than its factorization.

110068900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 110068900 is about 10491.3726461317. The cubic root of 110068900 is about 479.2420038654.

The spelling of 110068900 in words is "one hundred ten million, sixty-eight thousand, nine hundred".