105317193 has 8 divisors (see below), whose sum is σ = 148683168. Its totient is φ = 66081344.

The previous prime is 105317189. The next prime is 105317213. The reversal of 105317193 is 391713501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105317193 - 2² = 105317189 is a prime.

It is a super-2 number, since 2×105317193² = 22183422282798498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105317193.

It is not an unprimeable number, because it can be changed into a prime (105317143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032471 + ... + 1032572.

It is an arithmetic number, because the mean of its divisors is an integer number (18585396).

Almost surely, 2^105317193 is an apocalyptic number.

It is an amenable number.

105317193 is a deficient number, since it is larger than the sum of its proper divisors (43365975).

105317193 is a wasteful number, since it uses less digits than its factorization.

105317193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065063.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 105317193 is about 10262.4165282842. The cubic root of 105317193 is about 472.2439742834.

The spelling of 105317193 in words is "one hundred five million, three hundred seventeen thousand, one hundred ninety-three".