103300 has 18 divisors (see below), whose sum is σ = 224378. Its totient is φ = 41280.

The previous prime is 103291. The next prime is 103307. The reversal of 103300 is 3301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 75076 = 168^2 + 274^2 .

It is not an unprimeable number, because it can be changed into a prime (103307) by changing a digit.

103300 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 5 ways as a sum of consecutive naturals, for example, 417 + ... + 616.

2¹⁰³³⁰⁰ is an apocalyptic number.

103300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103300 is an abundant number, since it is smaller than the sum of its proper divisors (121078).

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

103300 is a wasteful number, since it uses less digits than its factorization.

103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 103300 is about 321.4031735998. The cubic root of 103300 is about 46.9209475394.

Adding to 103300 its reverse (3301), we get a palindrome (106601).

Subtracting from 103300 its reverse (3301), we obtain a palindrome (99999).

The spelling of 103300 in words is "one hundred three thousand, three hundred", and thus it is an iban number.