110113000 has 64 divisors (see below), whose sum is σ = 266619600. Its totient is φ = 42515200.

The previous prime is 110112931. The next prime is 110113001. The reversal of 110113000 is 311011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2244004 + 107868996 = 1498^2 + 10386^2 .

It is not an unprimeable number, because it can be changed into a prime (110113001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27102 + ... + 30898.

Almost surely, 2^110113000 is an apocalyptic number.

110113000 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 110113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133309800).

110113000 is an abundant number, since it is smaller than the sum of its proper divisors (156506600).

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

110113000 is a wasteful number, since it uses less digits than its factorization.

110113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 110113000 is about 10493.4741625450. The cubic root of 110113000 is about 479.3059993883.

Adding to 110113000 its reverse (311011), we get a palindrome (110424011).

The spelling of 110113000 in words is "one hundred ten million, one hundred thirteen thousand".