100005006 has 16 divisors (see below), whose sum is σ = 205416144. Its totient is φ = 32433984.

The previous prime is 100005001. The next prime is 100005023. The reversal of 100005006 is 600500001.

It is a junction number, because it is equal to n+sod(n) for n = 100004982 and 100005000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 225015 + ... + 225458.

It is an arithmetic number, because the mean of its divisors is an integer number (12838509).

Almost surely, 2^100005006 is an apocalyptic number.

100005006 is an abundant number, since it is smaller than the sum of its proper divisors (105411138).

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

100005006 is a wasteful number, since it uses less digits than its factorization.

100005006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450515.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 100005006 is about 10000.2502968676. The cubic root of 100005006 is about 464.1666284966.

Adding to 100005006 its reverse (600500001), we get a palindrome (700505007).

The spelling of 100005006 in words is "one hundred million, five thousand, six".