13083105 has 16 divisors (see below), whose sum is σ = 23923584. Its totient is φ = 5980800.

The previous prime is 13083071. The next prime is 13083131. The reversal of 13083105 is 50138031.

It is a happy number.

13083105 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13083105 - 2⁹ = 13082593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62196 + ... + 62405.

It is an arithmetic number, because the mean of its divisors is an integer number (1495224).

Almost surely, 2^13083105 is an apocalyptic number.

13083105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13083105 is a deficient number, since it is larger than the sum of its proper divisors (10840479).

13083105 is a wasteful number, since it uses less digits than its factorization.

13083105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124616.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 13083105 is about 3617.0575057635. The cubic root of 13083105 is about 235.6334501774.

The spelling of 13083105 in words is "thirteen million, eighty-three thousand, one hundred five".