112435400 has 192 divisors, whose sum is σ = 334800000. Its totient is φ = 34809600.

The previous prime is 112435381. The next prime is 112435409. The reversal of 112435400 is 4534211.

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

It is not an unprimeable number, because it can be changed into a prime (112435409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754526 + ... + 754674.

It is an arithmetic number, because the mean of its divisors is an integer number (1743750).

Almost surely, 2^112435400 is an apocalyptic number.

112435400 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 112435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400000).

112435400 is an abundant number, since it is smaller than the sum of its proper divisors (222364600).

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

112435400 is a wasteful number, since it uses less digits than its factorization.

112435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

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

The square root of 112435400 is about 10603.5560073025. The cubic root of 112435400 is about 482.6522737010.

Adding to 112435400 its reverse (4534211), we get a palindrome (116969611).

The spelling of 112435400 in words is "one hundred twelve million, four hundred thirty-five thousand, four hundred".