112410400 has 72 divisors (see below), whose sum is σ = 276076080. Its totient is φ = 44693760.

The previous prime is 112410377. The next prime is 112410481. The reversal of 112410400 is 4014211.

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, 181291 + ... + 181909.

It is an arithmetic number, because the mean of its divisors is an integer number (3834390).

Almost surely, 2^112410400 is an apocalyptic number.

112410400 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 112410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138038040).

112410400 is an abundant number, since it is smaller than the sum of its proper divisors (163665680).

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

112410400 is a wasteful number, since it uses less digits than its factorization.

112410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 112410400 is about 10602.3770919544. The cubic root of 112410400 is about 482.6164984876.

Adding to 112410400 its reverse (4014211), we get a palindrome (116424611).

The spelling of 112410400 in words is "one hundred twelve million, four hundred ten thousand, four hundred".