11100105006 has 64 divisors (see below), whose sum is σ = 23084835840. Its totient is φ = 3555377280.

The previous prime is 11100104971. The next prime is 11100105013. The reversal of 11100105006 is 60050100111.

11100105006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11100105006² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6949800 + ... + 6951396.

It is an arithmetic number, because the mean of its divisors is an integer number (360700560).

Almost surely, 2^11100105006 is an apocalyptic number.

11100105006 is an abundant number, since it is smaller than the sum of its proper divisors (11984730834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11100105006 is a wasteful number, since it uses less digits than its factorization.

11100105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 11100105006 its reverse (60050100111), we get a palindrome (71150205117).

The spelling of 11100105006 in words is "eleven billion, one hundred million, one hundred five thousand, six".