105221317015583 has 2 divisors, whose sum is σ = 105221317015584. Its totient is φ = 105221317015582.

The previous prime is 105221317015523. The next prime is 105221317015657. The reversal of 105221317015583 is 385510713122501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105221317015583 - 2¹⁰ = 105221317014559 is a prime.

It is a super-2 number, since 2×105221317015583² (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 (105221317015523) 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, 52610658507791 + 52610658507792.

It is an arithmetic number, because the mean of its divisors is an integer number (52610658507792).

Almost surely, 2^{105221317015583} is an apocalyptic number.

105221317015583 is a deficient number, since it is larger than the sum of its proper divisors (1).

105221317015583 is an equidigital number, since it uses as much as digits as its factorization.

105221317015583 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252000, while the sum is 44.

The spelling of 105221317015583 in words is "one hundred five trillion, two hundred twenty-one billion, three hundred seventeen million, fifteen thousand, five hundred eighty-three".