105005006005000 has 80 divisors (see below), whose sum is σ = 246042196044480. Its totient is φ = 41999361864000.

The previous prime is 105005006004959. The next prime is 105005006005013. The reversal of 105005006005000 is 500600500501.

It is a super-2 number, since 2×105005006005000² (a number of 29 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 79862917 + ... + 81167083.

It is an arithmetic number, because the mean of its divisors is an integer number (3075527450556).

Almost surely, 2^{105005006005000} is an apocalyptic number.

105005006005000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005006005000 is an abundant number, since it is smaller than the sum of its proper divisors (141037190039480).

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

105005006005000 is a wasteful number, since it uses less digits than its factorization.

105005006005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320296 (or 1320277 counting only the distinct ones).

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

Adding to 105005006005000 its reverse (500600500501), we get a palindrome (105505606505501).

The spelling of 105005006005000 in words is "one hundred five trillion, five billion, six million, five thousand".