105005005006 has 16 divisors (see below), whose sum is σ = 177369159168. Its totient is φ = 46189884600.

The previous prime is 105005004991. The next prime is 105005005073. The reversal of 105005005006 is 600500500501.

It is a super-2 number, since 2×105005005006² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76982460 + ... + 76983823.

It is an arithmetic number, because the mean of its divisors is an integer number (11085572448).

Almost surely, 2^105005005006 is an apocalyptic number.

105005005006 is a deficient number, since it is larger than the sum of its proper divisors (72364154162).

105005005006 is a wasteful number, since it uses less digits than its factorization.

105005005006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153966327.

The product of its (nonzero) digits is 750, while the sum is 22.

Multiplying 105005005006 by its sum of digits (22), we get a palindrome (2310110110132).

Adding to 105005005006 its reverse (600500500501), we get a palindrome (705505505507).

The spelling of 105005005006 in words is "one hundred five billion, five million, five thousand, six".