10005611100006 has 32 divisors (see below), whose sum is σ = 20706534597600. Its totient is φ = 3219376858880.

The previous prime is 10005611099999. The next prime is 10005611100011. The reversal of 10005611100006 is 60000111650001.

It is a super-2 number, since 2×10005611100006² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6634185 + ... + 8001476.

It is an arithmetic number, because the mean of its divisors is an integer number (647079206175).

Almost surely, 2^{10005611100006} is an apocalyptic number.

10005611100006 is an abundant number, since it is smaller than the sum of its proper divisors (10700923497594).

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

10005611100006 is a wasteful number, since it uses less digits than its factorization.

10005611100006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14639624.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10005611100006 its reverse (60000111650001), we get a palindrome (70005722750007).

The spelling of 10005611100006 in words is "ten trillion, five billion, six hundred eleven million, one hundred thousand, six".