113110400 has 96 divisors (see below), whose sum is σ = 301022400. Its totient is φ = 41748480.

The previous prime is 113110399. The next prime is 113110421. The reversal of 113110400 is 4011311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40241 + ... + 42959.

It is an arithmetic number, because the mean of its divisors is an integer number (3135650).

Almost surely, 2^113110400 is an apocalyptic number.

113110400 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 113110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150511200).

113110400 is an abundant number, since it is smaller than the sum of its proper divisors (187912000).

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

113110400 is a wasteful number, since it uses less digits than its factorization.

113110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 113110400 is about 10635.3373242225. The cubic root of 113110400 is about 483.6162064587.

Adding to 113110400 its reverse (4011311), we get a palindrome (117121711).

The spelling of 113110400 in words is "one hundred thirteen million, one hundred ten thousand, four hundred".