112534400 has 192 divisors, whose sum is σ = 318729600. Its totient is φ = 38860800.

The previous prime is 112534363. The next prime is 112534439. The reversal of 112534400 is 4435211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809531 + ... + 809669.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^112534400 is an apocalyptic number.

112534400 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 112534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

112534400 is an abundant number, since it is smaller than the sum of its proper divisors (206195200).

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

112534400 is a wasteful number, since it uses less digits than its factorization.

112534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 112534400 is about 10608.2232254040. The cubic root of 112534400 is about 482.7938914882.

Adding to 112534400 its reverse (4435211), we get a palindrome (116969611).

It can be divided in two parts, 11 and 2534400, that multiplied together give a square (27878400 = 5280²).

The spelling of 112534400 in words is "one hundred twelve million, five hundred thirty-four thousand, four hundred".