112100 has 36 divisors (see below), whose sum is σ = 260400. Its totient is φ = 41760.

The previous prime is 112097. The next prime is 112103. The reversal of 112100 is 1211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112097) and next prime (112103).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (112103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1871 + ... + 1929.

2¹¹²¹⁰⁰ is an apocalyptic number.

112100 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 112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130200).

112100 is an abundant number, since it is smaller than the sum of its proper divisors (148300).

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

112100 is a wasteful number, since it uses less digits than its factorization.

112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 112100 is about 334.8133808557. The cubic root of 112100 is about 48.2171871009.

Adding to 112100 its reverse (1211), we get a palindrome (113311).

Subtracting from 112100 its reverse (1211), we obtain a square (110889 = 333²).

It can be divided in two parts, 112 and 100, that added together give a palindrome (212).

The spelling of 112100 in words is "one hundred twelve thousand, one hundred", and thus it is an iban number.