103312 has 20 divisors (see below), whose sum is σ = 218736. Its totient is φ = 46880.

The previous prime is 103307. The next prime is 103319. The reversal of 103312 is 213301.

It is not an unprimeable number, because it can be changed into a prime (103319) by changing a digit.

103312 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118 + ... + 469.

2¹⁰³³¹² is an apocalyptic number.

It is an amenable number.

103312 is an abundant number, since it is smaller than the sum of its proper divisors (115424).

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

103312 is a wasteful number, since it uses less digits than its factorization.

103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 103312 is about 321.4218411994. The cubic root of 103312 is about 46.9227643499.

Adding to 103312 its reverse (213301), we get a palindrome (316613).

The spelling of 103312 in words is "one hundred three thousand, three hundred twelve", and thus it is an iban number.