112500 has 54 divisors (see below), whose sum is σ = 355446. Its totient is φ = 30000.

The previous prime is 112481. The next prime is 112501. The reversal of 112500 is 5211.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 60516 = 228^2 + 246^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112501) by changing a digit.

112500 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 17 ways as a sum of consecutive naturals, for example, 22498 + ... + 22502.

2¹¹²⁵⁰⁰ is an apocalyptic number.

112500 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 112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177723).

112500 is an abundant number, since it is smaller than the sum of its proper divisors (242946).

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

112500 is an equidigital number, since it uses as much as digits as its factorization.

112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 112500 is about 335.4101966250. The cubic root of 112500 is about 48.2744692303.

Adding to 112500 its reverse (5211), we get a palindrome (117711).

The spelling of 112500 in words is "one hundred twelve thousand, five hundred".