105055010106006 has 32 divisors (see below), whose sum is σ = 211449690073440. Its totient is φ = 34795061323776.

The previous prime is 105055010105987. The next prime is 105055010106017. The reversal of 105055010106006 is 600601010550501.

It is a super-2 number, since 2×105055010106006² (a number of 29 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, 202852600 + ... + 203369828.

It is an arithmetic number, because the mean of its divisors is an integer number (6607802814795).

Almost surely, 2^{105055010106006} is an apocalyptic number.

105055010106006 is an abundant number, since it is smaller than the sum of its proper divisors (106394679967434).

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

105055010106006 is a wasteful number, since it uses less digits than its factorization.

105055010106006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733008.

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 105055010106006 its reverse (600601010550501), we get a palindrome (705656020656507).

The spelling of 105055010106006 in words is "one hundred five trillion, fifty-five billion, ten million, one hundred six thousand, six".