112335400 has 48 divisors (see below), whose sum is σ = 263627100. Its totient is φ = 44513280.

The previous prime is 112335373. The next prime is 112335403. The reversal of 112335400 is 4533211.

It can be written as a sum of positive squares in 6 ways, for example, as 59074596 + 53260804 = 7686^2 + 7298^2 .

It is not an unprimeable number, because it can be changed into a prime (112335403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19224 + ... + 24376.

Almost surely, 2^112335400 is an apocalyptic number.

112335400 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 112335400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131813550).

112335400 is an abundant number, since it is smaller than the sum of its proper divisors (151291700).

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

112335400 is a wasteful number, since it uses less digits than its factorization.

112335400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 112335400 is about 10598.8395591216. The cubic root of 112335400 is about 482.5091410118.

Adding to 112335400 its reverse (4533211), we get a palindrome (116868611).

The spelling of 112335400 in words is "one hundred twelve million, three hundred thirty-five thousand, four hundred".