11006100610105 has 16 divisors (see below), whose sum is σ = 13213717951104. Its totient is φ = 8800616202880.

The previous prime is 11006100610067. The next prime is 11006100610117. The reversal of 11006100610105 is 50101600160011.

It is not a de Polignac number, because 11006100610105 - 2¹³ = 11006100601913 is a prime.

It is a super-2 number, since 2×11006100610105² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264911964 + ... + 264953506.

It is an arithmetic number, because the mean of its divisors is an integer number (825857371944).

Almost surely, 2^{11006100610105} is an apocalyptic number.

It is an amenable number.

11006100610105 is a deficient number, since it is larger than the sum of its proper divisors (2207617340999).

11006100610105 is a wasteful number, since it uses less digits than its factorization.

11006100610105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65936.

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 11006100610105 its reverse (50101600160011), we get a palindrome (61107700770116).

The spelling of 11006100610105 in words is "eleven trillion, six billion, one hundred million, six hundred ten thousand, one hundred five".