103320 has 96 divisors (see below), whose sum is σ = 393120. Its totient is φ = 23040.

The previous prime is 103319. The next prime is 103333. The reversal of 103320 is 23301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103320.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2500 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2¹⁰³³²⁰ is an apocalyptic number.

103320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

103320 is an abundant number, since it is smaller than the sum of its proper divisors (289800).

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

103320 is a wasteful number, since it uses less digits than its factorization.

103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 103320 is about 321.4342856635. The cubic root of 103320 is about 46.9239754788.

Adding to 103320 its reverse (23301), we get a palindrome (126621).

The spelling of 103320 in words is "one hundred three thousand, three hundred twenty", and thus it is an iban number.