113044100 has 54 divisors (see below), whose sum is σ = 265666590. Its totient is φ = 41733120.

The previous prime is 113044081. The next prime is 113044111. The reversal of 113044100 is 1440311.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 51609856 + 61434244 = 7184^2 + 7838^2 .

It is a super-3 number, since 3×113044100³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13556 + ... + 20244.

Almost surely, 2^113044100 is an apocalyptic number.

113044100 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 113044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132833295).

113044100 is an abundant number, since it is smaller than the sum of its proper divisors (152622490).

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

113044100 is a wasteful number, since it uses less digits than its factorization.

113044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6729 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 113044100 is about 10632.2198999080. The cubic root of 113044100 is about 483.5216969610.

Adding to 113044100 its reverse (1440311), we get a palindrome (114484411).

The spelling of 113044100 in words is "one hundred thirteen million, forty-four thousand, one hundred".