112710400 has 108 divisors (see below), whose sum is σ = 304527384. Its totient is φ = 40960000.

The previous prime is 112710397. The next prime is 112710407. The reversal of 112710400 is 4017211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112710407) 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, 69600 + ... + 71200.

It is an arithmetic number, because the mean of its divisors is an integer number (2819698).

Almost surely, 2^112710400 is an apocalyptic number.

112710400 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 112710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152263692).

112710400 is an abundant number, since it is smaller than the sum of its proper divisors (191816984).

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

112710400 is a wasteful number, since it uses less digits than its factorization.

112710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 112710400 is about 10616.5154358669. The cubic root of 112710400 is about 483.0454515022.

Adding to 112710400 its reverse (4017211), we get a palindrome (116727611).

The spelling of 112710400 in words is "one hundred twelve million, seven hundred ten thousand, four hundred".