105005056100047 has 2 divisors, whose sum is σ = 105005056100048. Its totient is φ = 105005056100046.

The previous prime is 105005056100041. The next prime is 105005056100143. The reversal of 105005056100047 is 740001650500501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105005056100047 - 2³ = 105005056100039 is a prime.

It is a super-2 number, since 2×105005056100047² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105005056099985 and 105005056100021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105005056100041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502528050023 + 52502528050024.

It is an arithmetic number, because the mean of its divisors is an integer number (52502528050024).

Almost surely, 2^{105005056100047} is an apocalyptic number.

105005056100047 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005056100047 is an equidigital number, since it uses as much as digits as its factorization.

105005056100047 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21000, while the sum is 34.

The spelling of 105005056100047 in words is "one hundred five trillion, five billion, fifty-six million, one hundred thousand, forty-seven".