13105 has 4 divisors (see below), whose sum is σ = 15732. Its totient is φ = 10480.

The previous prime is 13103. The next prime is 13109. The reversal of 13105 is 50131.

13105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7921 + 5184 = 89^2 + 72^2 .

It is not a de Polignac number, because 13105 - 2¹ = 13103 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13091 and 13100.

It is not an unprimeable number, because it can be changed into a prime (13103) by changing a digit.

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, 1306 + ... + 1315.

It is an arithmetic number, because the mean of its divisors is an integer number (3933).

2¹³¹⁰⁵ is an apocalyptic number.

It is an amenable number.

13105 is a deficient number, since it is larger than the sum of its proper divisors (2627).

13105 is an equidigital number, since it uses as much as digits as its factorization.

13105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 13105 is about 114.4770719402. The cubic root of 13105 is about 23.5764823656.

Adding to 13105 its reverse (50131), we get a palindrome (63236).

The spelling of 13105 in words is "thirteen thousand, one hundred five".