100000010006 has 16 divisors (see below), whose sum is σ = 168561890784. Its totient is φ = 44147161344.

The previous prime is 100000009997. The next prime is 100000010039. The reversal of 100000010006 is 600010000001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100000009975 and 100000010002.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 83611451 + ... + 83612646.

It is an arithmetic number, because the mean of its divisors is an integer number (10535118174).

Almost surely, 2^100000010006 is an apocalyptic number.

100000010006 is a deficient number, since it is larger than the sum of its proper divisors (68561880778).

100000010006 is a wasteful number, since it uses less digits than its factorization.

100000010006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167224135.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100000010006 its reverse (600010000001), we get a palindrome (700010010007).

The spelling of 100000010006 in words is "one hundred billion, ten thousand, six".