112010400 has 216 divisors, whose sum is σ = 404599104. Its totient is φ = 29145600.

The previous prime is 112010389. The next prime is 112010413. The reversal of 112010400 is 4010211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 338235 + ... + 338565.

It is an arithmetic number, because the mean of its divisors is an integer number (1873144).

Almost surely, 2^112010400 is an apocalyptic number.

112010400 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 112010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202299552).

112010400 is an abundant number, since it is smaller than the sum of its proper divisors (292588704).

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

112010400 is a wasteful number, since it uses less digits than its factorization.

112010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112010400 is about 10583.4965866674. The cubic root of 112010400 is about 482.0433723016.

Adding to 112010400 its reverse (4010211), we get a palindrome (116020611).

The spelling of 112010400 in words is "one hundred twelve million, ten thousand, four hundred".