112784400 has 225 divisors, whose sum is σ = 411751021. Its totient is φ = 29566080.

The previous prime is 112784363. The next prime is 112784407. The reversal of 112784400 is 4487211.

The square root of 112784400 is 10620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40602384 + 72182016 = 6372^2 + 8496^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112784407) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1911571 + ... + 1911629.

Almost surely, 2^112784400 is an apocalyptic number.

112784400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112784400 is the 10620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112784400

112784400 is an abundant number, since it is smaller than the sum of its proper divisors (298966621).

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

112784400 is an equidigital number, since it uses as much as digits as its factorization.

112784400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The cubic root of 112784400 is about 483.1511428534.

The spelling of 112784400 in words is "one hundred twelve million, seven hundred eighty-four thousand, four hundred".