210112 has 42 divisors (see below), whose sum is σ = 492252. Its totient is φ = 88704.

The previous prime is 210109. The next prime is 210113. The reversal of 210112 is 211012.

210112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 210095 and 210104.

It is not an unprimeable number, because it can be changed into a prime (210113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3103 + ... + 3169.

2²¹⁰¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246126).

210112 is an abundant number, since it is smaller than the sum of its proper divisors (282140).

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

210112 is an equidigital number, since it uses as much as digits as its factorization.

210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 210112 is about 458.3797552249. The cubic root of 210112 is about 59.4497846220.

Adding to 210112 its reverse (211012), we get a palindrome (421124).

Subtracting 210112 from its reverse (211012), we obtain a square (900 = 30²).

The spelling of 210112 in words is "two hundred ten thousand, one hundred twelve", and thus it is an iban number.