105605313 has 16 divisors (see below), whose sum is σ = 158564352. Its totient is φ = 61938000.

The previous prime is 105605303. The next prime is 105605341. The reversal of 105605313 is 313506501.

It is not a de Polignac number, because 105605313 - 2⁸ = 105605057 is a prime.

It is a super-2 number, since 2×105605313² = 22304964267655938, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105605303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50593 + ... + 52638.

It is an arithmetic number, because the mean of its divisors is an integer number (9910272).

Almost surely, 2^105605313 is an apocalyptic number.

It is an amenable number.

105605313 is a deficient number, since it is larger than the sum of its proper divisors (52959039).

105605313 is a wasteful number, since it uses less digits than its factorization.

105605313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103276.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 105605313 is about 10276.4445699863. Note that the first 3 decimals coincide. The cubic root of 105605313 is about 472.6742270618.

The spelling of 105605313 in words is "one hundred five million, six hundred five thousand, three hundred thirteen".