105005061060561 has 12 divisors (see below), whose sum is σ = 151676769870288. Its totient is φ = 70002085063704.

The previous prime is 105005061060547. The next prime is 105005061060671. The reversal of 105005061060561 is 165060160500501.

It is not a de Polignac number, because 105005061060561 - 2⁷ = 105005061060433 is a prime.

It is a super-2 number, since 2×105005061060561² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105005061060511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106898655 + ... + 107876468.

It is an arithmetic number, because the mean of its divisors is an integer number (12639730822524).

Almost surely, 2^{105005061060561} is an apocalyptic number.

It is an amenable number.

105005061060561 is a deficient number, since it is larger than the sum of its proper divisors (46671708809727).

105005061060561 is a wasteful number, since it uses less digits than its factorization.

105005061060561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214829452 (or 214829449 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105005061060561 in words is "one hundred five trillion, five billion, sixty-one million, sixty thousand, five hundred sixty-one".