105561106010999 has 8 divisors (see below), whose sum is σ = 105781975920000. Its totient is φ = 105340238152192.

The previous prime is 105561106010989. The next prime is 105561106011013. The reversal of 105561106010999 is 999010601165501.

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

It is a cyclic number.

It is not a de Polignac number, because 105561106010999 - 2³² = 105556811043703 is a prime.

It is a super-2 number, since 2×105561106010999² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105561106010999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105561106010909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146775227 + ... + 147492675.

It is an arithmetic number, because the mean of its divisors is an integer number (13222746990000).

Almost surely, 2^{105561106010999} is an apocalyptic number.

105561106010999 is a deficient number, since it is larger than the sum of its proper divisors (220869909001).

105561106010999 is an equidigital number, since it uses as much as digits as its factorization.

105561106010999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025097.

The product of its (nonzero) digits is 656100, while the sum is 53.

The spelling of 105561106010999 in words is "one hundred five trillion, five hundred sixty-one billion, one hundred six million, ten thousand, nine hundred ninety-nine".