105456917 has 2 divisors, whose sum is σ = 105456918. Its totient is φ = 105456916.

The previous prime is 105456907. The next prime is 105456943. The reversal of 105456917 is 719654501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95433361 + 10023556 = 9769^2 + 3166^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105456917 is a prime.

It is a super-2 number, since 2×105456917² = 22242322686289778, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105456907) 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 as a sum of consecutive naturals, namely, 52728458 + 52728459.

It is an arithmetic number, because the mean of its divisors is an integer number (52728459).

Almost surely, 2^105456917 is an apocalyptic number.

It is an amenable number.

105456917 is a deficient number, since it is larger than the sum of its proper divisors (1).

105456917 is an equidigital number, since it uses as much as digits as its factorization.

105456917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 105456917 is about 10269.2218303044. The cubic root of 105456917 is about 472.4527235436.

The spelling of 105456917 in words is "one hundred five million, four hundred fifty-six thousand, nine hundred seventeen".