105091317 has 8 divisors (see below), whose sum is σ = 155690880. Its totient is φ = 70060860.

The previous prime is 105091313. The next prime is 105091321. The reversal of 105091317 is 713190501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105091313) and next prime (105091321).

It is not a de Polignac number, because 105091317 - 2² = 105091313 is a prime.

It is a super-2 number, since 2×105091317² = 22088369817588978, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3892271 = 105091317 / (1 + 0 + 5 + 0 + 9 + 1 + 3 + 1 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105091313) 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 7 ways as a sum of consecutive naturals, for example, 1946109 + ... + 1946162.

It is an arithmetic number, because the mean of its divisors is an integer number (19461360).

Almost surely, 2^105091317 is an apocalyptic number.

It is an amenable number.

105091317 is a deficient number, since it is larger than the sum of its proper divisors (50599563).

105091317 is an equidigital number, since it uses as much as digits as its factorization.

105091317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892280 (or 3892274 counting only the distinct ones).

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

The square root of 105091317 is about 10251.4056109394. The cubic root of 105091317 is about 471.9061221056.

The spelling of 105091317 in words is "one hundred five million, ninety-one thousand, three hundred seventeen".