105271006347557 has 16 divisors (see below), whose sum is σ = 105594296295600. Its totient is φ = 104948141555712.

The previous prime is 105271006347527. The next prime is 105271006347599. The reversal of 105271006347557 is 755743600172501.

It is a Cunningham number, because it is equal to 10260166²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 13767261101476 + 91503745246081 = 3710426^2 + 9565759^2 .

It is a cyclic number.

It is not a de Polignac number, because 105271006347557 - 2¹⁰ = 105271006346533 is a prime.

It is a super-2 number, since 2×105271006347557² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105271006347499 and 105271006347508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105271006347527) 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 in 15 ways as a sum of consecutive naturals, for example, 3923178413 + ... + 3923205245.

It is an arithmetic number, because the mean of its divisors is an integer number (6599643518475).

Almost surely, 2^{105271006347557} is an apocalyptic number.

It is an amenable number.

105271006347557 is a deficient number, since it is larger than the sum of its proper divisors (323289948043).

105271006347557 is a wasteful number, since it uses less digits than its factorization.

105271006347557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34312.

The product of its (nonzero) digits is 6174000, while the sum is 53.

The spelling of 105271006347557 in words is "one hundred five trillion, two hundred seventy-one billion, six million, three hundred forty-seven thousand, five hundred fifty-seven".