100005100006 has 24 divisors (see below), whose sum is σ = 171707569200. Its totient is φ = 42791870880.

The previous prime is 100005099983. The next prime is 100005100007. The reversal of 100005100006 is 600001500001.

It is a super-2 number, since 2×100005100006² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6108720 + ... + 6125068.

It is an arithmetic number, because the mean of its divisors is an integer number (7154482050).

Almost surely, 2^100005100006 is an apocalyptic number.

100005100006 is a deficient number, since it is larger than the sum of its proper divisors (71702469194).

100005100006 is an frugal number, since it uses more digits than its factorization.

100005100006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17680 (or 17019 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 100005100006 its reverse (600001500001), we get a palindrome (700006600007).

The spelling of 100005100006 in words is "one hundred billion, five million, one hundred thousand, six".