105417617 has 2 divisors, whose sum is σ = 105417618. Its totient is φ = 105417616.

The previous prime is 105417607. The next prime is 105417647. The reversal of 105417617 is 716714501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62789776 + 42627841 = 7924^2 + 6529^2 .

It is a cyclic number.

It is not a de Polignac number, because 105417617 - 2¹⁶ = 105352081 is a prime.

It is a super-2 number, since 2×105417617² = 22225747947917378, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105417607) 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, 52708808 + 52708809.

It is an arithmetic number, because the mean of its divisors is an integer number (52708809).

Almost surely, 2^105417617 is an apocalyptic number.

It is an amenable number.

105417617 is a deficient number, since it is larger than the sum of its proper divisors (1).

105417617 is an equidigital number, since it uses as much as digits as its factorization.

105417617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 105417617 is about 10267.3081671877. The cubic root of 105417617 is about 472.3940275393.

The spelling of 105417617 in words is "one hundred five million, four hundred seventeen thousand, six hundred seventeen".