105190317 has 24 divisors (see below), whose sum is σ = 154851840. Its totient is φ = 68796000.

The previous prime is 105190273. The next prime is 105190361. The reversal of 105190317 is 713091501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105190273) and next prime (105190361).

It is not a de Polignac number, because 105190317 - 2¹⁶ = 105124781 is a prime.

It is a super-2 number, since 2×105190317² = 22130005581120978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105190717) by changing a digit.

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, 139692 + ... + 140442.

It is an arithmetic number, because the mean of its divisors is an integer number (6452160).

Almost surely, 2^105190317 is an apocalyptic number.

It is an amenable number.

105190317 is a deficient number, since it is larger than the sum of its proper divisors (49661523).

105190317 is a wasteful number, since it uses less digits than its factorization.

105190317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 105190317 is about 10256.2330804248. The cubic root of 105190317 is about 472.0542600769.

The spelling of 105190317 in words is "one hundred five million, one hundred ninety thousand, three hundred seventeen".