105516561505047 has 16 divisors (see below), whose sum is σ = 175404154190592. Its totient is φ = 54813798184320.

The previous prime is 105516561505001. The next prime is 105516561505049. The reversal of 105516561505047 is 740505165615501.

It is not a de Polignac number, because 105516561505047 - 2⁸ = 105516561504791 is a prime.

It is a super-2 number, since 2×105516561505047² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105516561505049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228390825538 + ... + 228390825999.

It is an arithmetic number, because the mean of its divisors is an integer number (10962759636912).

Almost surely, 2^{105516561505047} is an apocalyptic number.

105516561505047 is a deficient number, since it is larger than the sum of its proper divisors (69887592685545).

105516561505047 is a wasteful number, since it uses less digits than its factorization.

105516561505047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456781651558.

The product of its (nonzero) digits is 3150000, while the sum is 51.

The spelling of 105516561505047 in words is "one hundred five trillion, five hundred sixteen billion, five hundred sixty-one million, five hundred five thousand, forty-seven".