105071221515677 has 2 divisors, whose sum is σ = 105071221515678. Its totient is φ = 105071221515676.

The previous prime is 105071221515599. The next prime is 105071221515713. The reversal of 105071221515677 is 776515122170501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89736705918916 + 15334515596761 = 9472946^2 + 3915931^2 .

It is a cyclic number.

It is not a de Polignac number, because 105071221515677 - 2⁴² = 100673175004573 is a prime.

It is a super-2 number, since 2×105071221515677² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105071221515077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52535610757838 + 52535610757839.

It is an arithmetic number, because the mean of its divisors is an integer number (52535610757839).

Almost surely, 2^{105071221515677} is an apocalyptic number.

It is an amenable number.

105071221515677 is a deficient number, since it is larger than the sum of its proper divisors (1).

105071221515677 is an equidigital number, since it uses as much as digits as its factorization.

105071221515677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1029000, while the sum is 50.

The spelling of 105071221515677 in words is "one hundred five trillion, seventy-one billion, two hundred twenty-one million, five hundred fifteen thousand, six hundred seventy-seven".