103112 has 8 divisors (see below), whose sum is σ = 193350. Its totient is φ = 51552.

The previous prime is 103099. The next prime is 103123. The reversal of 103112 is 211301.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 21316 = 286^2 + 146^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a Harshad number since it is a multiple of its sum of digits (8), and also a Moran number because the ratio is a prime number: 12889 = 103112 / (1 + 0 + 3 + 1 + 1 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 103112.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 6437 + ... + 6452.

2¹⁰³¹¹² is an apocalyptic number.

It is an amenable number.

103112 is a deficient number, since it is larger than the sum of its proper divisors (90238).

103112 is a wasteful number, since it uses less digits than its factorization.

103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12895 (or 12891 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 103112 is about 321.1105728561. The cubic root of 103112 is about 46.8924657877.

Adding to 103112 its reverse (211301), we get a palindrome (314413).

The spelling of 103112 in words is "one hundred three thousand, one hundred twelve", and thus it is an iban number.