10305 has 12 divisors (see below), whose sum is σ = 17940. Its totient is φ = 5472.

The previous prime is 10303. The next prime is 10313. The reversal of 10305 is 50301.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 3249 = 84^2 + 57^2 .

It is not a de Polignac number, because 10305 - 2¹ = 10303 is a prime.

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

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70 + ... + 159.

It is an arithmetic number, because the mean of its divisors is an integer number (1495).

2¹⁰³⁰⁵ is an apocalyptic number.

10305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10305 is a deficient number, since it is larger than the sum of its proper divisors (7635).

10305 is a wasteful number, since it uses less digits than its factorization.

10305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 10305 is about 101.5135458941. The cubic root of 10305 is about 21.7611912284.

Adding to 10305 its reverse (50301), we get a palindrome (60606).

It can be divided in two parts, 1030 and 5, that added together give a triangular number (1035 = T₄₅).

The spelling of 10305 in words is "ten thousand, three hundred five".