105005560500561 has 64 divisors (see below), whose sum is σ = 165156191133696. Its totient is φ = 58096698163200.

The previous prime is 105005560500523. The next prime is 105005560500593. The reversal of 105005560500561 is 165005065500501.

It is not a de Polignac number, because 105005560500561 - 2⁶ = 105005560500497 is a prime.

It is a super-3 number, since 3×105005560500561³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105005560505561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59090526 + ... + 60841608.

It is an arithmetic number, because the mean of its divisors is an integer number (2580565486464).

Almost surely, 2^{105005560500561} is an apocalyptic number.

It is an amenable number.

105005560500561 is a deficient number, since it is larger than the sum of its proper divisors (60150630633135).

105005560500561 is a wasteful number, since it uses less digits than its factorization.

105005560500561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751662.

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 105005560500561 in words is "one hundred five trillion, five billion, five hundred sixty million, five hundred thousand, five hundred sixty-one".