112910 has 16 divisors (see below), whose sum is σ = 232416. Its totient is φ = 38688.

The previous prime is 112909. The next prime is 112913. The reversal of 112910 is 19211.

112910 = 193² + 194² + 195².

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 737 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (14526).

2¹¹²⁹¹⁰ is an apocalyptic number.

112910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112910 is an abundant number, since it is smaller than the sum of its proper divisors (119506).

It is a weird number, because it is abundant, but not a pseudoperfect number.

112910 is a wasteful number, since it uses less digits than its factorization.

112910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 112910 is about 336.0208326875. The cubic root of 112910 is about 48.3330426723. Note that the first 3 decimals are identical.

Subtracting from 112910 its sum of digits (14), we obtain a square (112896 = 336²).

The spelling of 112910 in words is "one hundred twelve thousand, nine hundred ten".