105220210517 has 2 divisors, whose sum is σ = 105220210518. Its totient is φ = 105220210516.

The previous prime is 105220210493. The next prime is 105220210609. The reversal of 105220210517 is 715012022501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72325496356 + 32894714161 = 268934^2 + 181369^2 .

It is a cyclic number.

It is not a de Polignac number, because 105220210517 - 2⁶ = 105220210453 is a prime.

It is a super-2 number, since 2×105220210517² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105220200517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52610105258 + 52610105259.

It is an arithmetic number, because the mean of its divisors is an integer number (52610105259).

Almost surely, 2^105220210517 is an apocalyptic number.

It is an amenable number.

105220210517 is a deficient number, since it is larger than the sum of its proper divisors (1).

105220210517 is an equidigital number, since it uses as much as digits as its factorization.

105220210517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 26.

The spelling of 105220210517 in words is "one hundred five billion, two hundred twenty million, two hundred ten thousand, five hundred seventeen".