103314 has 16 divisors (see below), whose sum is σ = 210528. Its totient is φ = 33792.

The previous prime is 103307. The next prime is 103319. The reversal of 103314 is 413301.

103314 = T₁₄₇ + T₁₄₈ + ... + T₁₅₅.

It is a self number, because there is not a number n which added to its sum of digits gives 103314.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103314.

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

103314 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (13158).

2¹⁰³³¹⁴ is an apocalyptic number.

103314 is an abundant number, since it is smaller than the sum of its proper divisors (107214).

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

103314 is a wasteful number, since it uses less digits than its factorization.

103314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103314 is about 321.4249523606. The cubic root of 103314 is about 46.9230671380.

Adding to 103314 its reverse (413301), we get a palindrome (516615).

The spelling of 103314 in words is "one hundred three thousand, three hundred fourteen", and thus it is an iban number.