105505601060561 has 8 divisors (see below), whose sum is σ = 113621540772264. Its totient is φ = 97389679098240.

The previous prime is 105505601060543. The next prime is 105505601060593. The reversal of 105505601060561 is 165060106505501.

It can be written as a sum of positive squares in 4 ways, for example, as 463292590336 + 105042308470225 = 680656^2 + 10249015^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105505601060561 is a prime.

It is a super-2 number, since 2×105505601060561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105505601060521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9538631 + ... + 17378051.

It is an arithmetic number, because the mean of its divisors is an integer number (14202692596533).

Almost surely, 2^{105505601060561} is an apocalyptic number.

It is an amenable number.

105505601060561 is a deficient number, since it is larger than the sum of its proper divisors (8115939711703).

105505601060561 is a wasteful number, since it uses less digits than its factorization.

105505601060561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8874691.

The product of its (nonzero) digits is 135000, while the sum is 41.

The spelling of 105505601060561 in words is "one hundred five trillion, five hundred five billion, six hundred one million, sixty thousand, five hundred sixty-one".