105317975 has 24 divisors (see below), whose sum is σ = 158034528. Its totient is φ = 67968000.

The previous prime is 105317939. The next prime is 105317983. The reversal of 105317975 is 579713501.

It is not a de Polignac number, because 105317975 - 2¹⁸ = 105055831 is a prime.

It is a super-2 number, since 2×105317975² = 22183751716201250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14726 + ... + 20675.

It is an arithmetic number, because the mean of its divisors is an integer number (6584772).

Almost surely, 2^105317975 is an apocalyptic number.

105317975 is a deficient number, since it is larger than the sum of its proper divisors (52716553).

105317975 is a wasteful number, since it uses less digits than its factorization.

105317975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35435 (or 35430 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 38.

The square root of 105317975 is about 10262.4546284015. The cubic root of 105317975 is about 472.2451431140.

The spelling of 105317975 in words is "one hundred five million, three hundred seventeen thousand, nine hundred seventy-five".