11105868101 has 8 divisors (see below), whose sum is σ = 11490238200. Its totient is φ = 10721592000.

The previous prime is 11105867999. The next prime is 11105868119. The reversal of 11105868101 is 10186850111.

11105868101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 522808225 + 10583059876 = 22865^2 + 102874^2 .

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 11105868101 - 2¹⁸ = 11105605957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105868131) 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 7 ways as a sum of consecutive naturals, for example, 286295 + ... + 322763.

It is an arithmetic number, because the mean of its divisors is an integer number (1436279775).

Almost surely, 2^11105868101 is an apocalyptic number.

It is an amenable number.

11105868101 is a deficient number, since it is larger than the sum of its proper divisors (384370099).

11105868101 is a wasteful number, since it uses less digits than its factorization.

11105868101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46999.

The product of its (nonzero) digits is 1920, while the sum is 32.

The spelling of 11105868101 in words is "eleven billion, one hundred five million, eight hundred sixty-eight thousand, one hundred one".