105560100101101 has 8 divisors (see below), whose sum is σ = 105950488467384. Its totient is φ = 105169816200960.

The previous prime is 105560100101081. The next prime is 105560100101123. The reversal of 105560100101101 is 101101001065501.

It can be written as a sum of positive squares in 4 ways, for example, as 332612879076 + 105227487222025 = 576726^2 + 10258045^2 .

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 105560100101101 - 2¹⁷ = 105560099970029 is a prime.

It is a super-2 number, since 2×105560100101101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105560100102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24091566 + ... + 28134031.

It is an arithmetic number, because the mean of its divisors is an integer number (13243811058423).

Almost surely, 2^{105560100101101} is an apocalyptic number.

It is an amenable number.

105560100101101 is a deficient number, since it is larger than the sum of its proper divisors (390388366283).

105560100101101 is an equidigital number, since it uses as much as digits as its factorization.

105560100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52233071.

The product of its (nonzero) digits is 150, while the sum is 22.

Adding to 105560100101101 its reverse (101101001065501), we get a palindrome (206661101166602).

The spelling of 105560100101101 in words is "one hundred five trillion, five hundred sixty billion, one hundred million, one hundred one thousand, one hundred one".