105271006347599 has 2 divisors, whose sum is σ = 105271006347600. Its totient is φ = 105271006347598.

The previous prime is 105271006347527. The next prime is 105271006347707. The reversal of 105271006347599 is 995743600172501.

It is a weak prime.

It is an emirp because it is prime and its reverse (995743600172501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105271006347599 is a prime.

It is a super-2 number, since 2×105271006347599² (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 (705271006347599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52635503173799 + 52635503173800.

It is an arithmetic number, because the mean of its divisors is an integer number (52635503173800).

Almost surely, 2^{105271006347599} is an apocalyptic number.

105271006347599 is a deficient number, since it is larger than the sum of its proper divisors (1).

105271006347599 is an equidigital number, since it uses as much as digits as its factorization.

105271006347599 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14288400, while the sum is 59.

The spelling of 105271006347599 in words is "one hundred five trillion, two hundred seventy-one billion, six million, three hundred forty-seven thousand, five hundred ninety-nine".