113422400 has 336 divisors, whose sum is σ = 370392960. Its totient is φ = 33177600.

The previous prime is 113422399. The next prime is 113422403. The reversal of 113422400 is 4224311.

It is not an unprimeable number, because it can be changed into a prime (113422403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2766380 + ... + 2766420.

It is an arithmetic number, because the mean of its divisors is an integer number (1102360).

Almost surely, 2^113422400 is an apocalyptic number.

113422400 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 113422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185196480).

113422400 is an abundant number, since it is smaller than the sum of its proper divisors (256970560).

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

113422400 is a wasteful number, since it uses less digits than its factorization.

113422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 113422400 is about 10649.9953051633. The cubic root of 113422400 is about 484.0604619046.

Adding to 113422400 its reverse (4224311), we get a palindrome (117646711).

It can be divided in two parts, 1134 and 22400, that multiplied together give a square (25401600 = 5040²).

The spelling of 113422400 in words is "one hundred thirteen million, four hundred twenty-two thousand, four hundred".