112400 has 30 divisors (see below), whose sum is σ = 271002. Its totient is φ = 44800.

The previous prime is 112397. The next prime is 112403. The reversal of 112400 is 4211.

It is an interprime number because it is at equal distance from previous prime (112397) and next prime (112403).

It can be written as a sum of positive squares in 3 ways, for example, as 12544 + 99856 = 112^2 + 316^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (112403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 260 + ... + 540.

2¹¹²⁴⁰⁰ is an apocalyptic number.

112400 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 112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135501).

112400 is an abundant number, since it is smaller than the sum of its proper divisors (158602).

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

112400 is a wasteful number, since it uses less digits than its factorization.

112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

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

The square root of 112400 is about 335.2610922848. The cubic root of 112400 is about 48.2601614437.

Adding to 112400 its reverse (4211), we get a palindrome (116611).

It can be divided in two parts, 112 and 400, that added together give a 9-th power (512 = 2⁹).

The spelling of 112400 in words is "one hundred twelve thousand, four hundred", and thus it is an iban number.