112610 has 8 divisors (see below), whose sum is σ = 202716. Its totient is φ = 45040.

The previous prime is 112603. The next prime is 112621. The reversal of 112610 is 16211.

It can be written as a sum of positive squares in 2 ways, for example, as 104329 + 8281 = 323^2 + 91^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112591 and 112600.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 112610.

It is an unprimeable number.

112610 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 3 ways as a sum of consecutive naturals, for example, 5621 + ... + 5640.

2¹¹²⁶¹⁰ is an apocalyptic number.

112610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112610 is a deficient number, since it is larger than the sum of its proper divisors (90106).

112610 is a wasteful number, since it uses less digits than its factorization.

112610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11268.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 112610 is about 335.5741348793. The cubic root of 112610 is about 48.2901980061.

Adding to 112610 its reverse (16211), we get a palindrome (128821).

The spelling of 112610 in words is "one hundred twelve thousand, six hundred ten".