105271006347527 has 2 divisors, whose sum is σ = 105271006347528. Its totient is φ = 105271006347526.

The previous prime is 105271006347467. The next prime is 105271006347599. The reversal of 105271006347527 is 725743600172501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105271006347527 - 2²⁰ = 105271005298951 is a prime.

It is a super-2 number, since 2×105271006347527² (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 (105271006337527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52635503173763 + 52635503173764.

It is an arithmetic number, because the mean of its divisors is an integer number (52635503173764).

Almost surely, 2^{105271006347527} is an apocalyptic number.

105271006347527 is a deficient number, since it is larger than the sum of its proper divisors (1).

105271006347527 is an equidigital number, since it uses as much as digits as its factorization.

105271006347527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2469600, while the sum is 50.

The spelling of 105271006347527 in words is "one hundred five trillion, two hundred seventy-one billion, six million, three hundred forty-seven thousand, five hundred twenty-seven".