105126617 has 2 divisors, whose sum is σ = 105126618. Its totient is φ = 105126616.

The previous prime is 105126599. The next prime is 105126649. The reversal of 105126617 is 716621501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58736896 + 46389721 = 7664^2 + 6811^2 .

It is an emirp because it is prime and its reverse (716621501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105126617 is a prime.

It is a super-2 number, since 2×105126617² = 22103211203729378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105126617.

It is not a weakly prime, because it can be changed into another prime (105126017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52563308 + 52563309.

It is an arithmetic number, because the mean of its divisors is an integer number (52563309).

Almost surely, 2^105126617 is an apocalyptic number.

It is an amenable number.

105126617 is a deficient number, since it is larger than the sum of its proper divisors (1).

105126617 is an equidigital number, since it uses as much as digits as its factorization.

105126617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 105126617 is about 10253.1271814993. The cubic root of 105126617 is about 471.9589536867.

The spelling of 105126617 in words is "one hundred five million, one hundred twenty-six thousand, six hundred seventeen".