13105305 has 24 divisors (see below), whose sum is σ = 22855560. Its totient is φ = 6946560.

The previous prime is 13105277. The next prime is 13105319. The reversal of 13105305 is 50350131.

It is a happy number.

13105305 is a `hidden beast` number, since 131 + 0 + 530 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1140624 + 11964681 = 1068^2 + 3459^2 .

It is not a de Polignac number, because 13105305 - 2⁵ = 13105273 is a prime.

It is a congruent number.

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, 7341 + ... + 8949.

It is an arithmetic number, because the mean of its divisors is an integer number (952315).

Almost surely, 2^13105305 is an apocalyptic number.

13105305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13105305 is a deficient number, since it is larger than the sum of its proper divisors (9750255).

13105305 is a wasteful number, since it uses less digits than its factorization.

13105305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13105305 is about 3620.1249978419. The cubic root of 13105305 is about 235.7666526705.

Adding to 13105305 its reverse (50350131), we get a palindrome (63455436).

The spelling of 13105305 in words is "thirteen million, one hundred five thousand, three hundred five".