113022100 has 36 divisors (see below), whose sum is σ = 247531900. Its totient is φ = 44789760.

The previous prime is 113022097. The next prime is 113022101. The reversal of 113022100 is 1220311.

It can be written as a sum of positive squares in 6 ways, for example, as 10850436 + 102171664 = 3294^2 + 10108^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113022101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5716 + ... + 16084.

Almost surely, 2^113022100 is an apocalyptic number.

113022100 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 113022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123765950).

113022100 is an abundant number, since it is smaller than the sum of its proper divisors (134509800).

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

113022100 is a wasteful number, since it uses less digits than its factorization.

113022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 113022100 is about 10631.1852584742. The cubic root of 113022100 is about 483.4903281781.

Adding to 113022100 its reverse (1220311), we get a palindrome (114242411).

It can be divided in two parts, 11 and 3022100, that added together give a triangular number (3022111 = T₂₄₅₈).

The spelling of 113022100 in words is "one hundred thirteen million, twenty-two thousand, one hundred".