105745317 has 16 divisors (see below), whose sum is σ = 148820160. Its totient is φ = 66604032.

The previous prime is 105745307. The next prime is 105745319. The reversal of 105745317 is 713547501.

It is not a de Polignac number, because 105745317 - 2¹⁶ = 105679781 is a prime.

It is a super-2 number, since 2×105745317² = 22364144134860978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105745319) 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, 20293 + ... + 24965.

It is an arithmetic number, because the mean of its divisors is an integer number (9301260).

Almost surely, 2^105745317 is an apocalyptic number.

It is an amenable number.

105745317 is a deficient number, since it is larger than the sum of its proper divisors (43074843).

105745317 is a wasteful number, since it uses less digits than its factorization.

105745317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092.

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 105745317 is about 10283.2542028290. The cubic root of 105745317 is about 472.8830140953.

The spelling of 105745317 in words is "one hundred five million, seven hundred forty-five thousand, three hundred seventeen".