105310817 has 2 divisors, whose sum is σ = 105310818. Its totient is φ = 105310816.

The previous prime is 105310759. The next prime is 105310847. The reversal of 105310817 is 718013501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95570176 + 9740641 = 9776^2 + 3121^2 .

It is a cyclic number.

It is not a de Polignac number, because 105310817 - 2⁶ = 105310753 is a prime.

It is a super-2 number, since 2×105310817² = 22180736354414978, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105310847) 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 as a sum of consecutive naturals, namely, 52655408 + 52655409.

It is an arithmetic number, because the mean of its divisors is an integer number (52655409).

Almost surely, 2^105310817 is an apocalyptic number.

It is an amenable number.

105310817 is a deficient number, since it is larger than the sum of its proper divisors (1).

105310817 is an equidigital number, since it uses as much as digits as its factorization.

105310817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 26.

The square root of 105310817 is about 10262.1058755014. The cubic root of 105310817 is about 472.2344440625.

The spelling of 105310817 in words is "one hundred five million, three hundred ten thousand, eight hundred seventeen".