100605006006006 has 8 divisors (see below), whose sum is σ = 201210012012024. Its totient is φ = 33535002002000.

The previous prime is 100605006005921. The next prime is 100605006006017. The reversal of 100605006006006 is 600600600506001.

It is a sphenic number, since it is the product of 3 distinct primes.

100605006006006 is an admirable number.

It is a super-3 number, since 3×100605006006006³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8383750500495 + ... + 8383750500506.

It is an arithmetic number, because the mean of its divisors is an integer number (25151251501503).

Almost surely, 2^{100605006006006} is an apocalyptic number.

100605006006006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

100605006006006 is a wasteful number, since it uses less digits than its factorization.

100605006006006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16767501001006.

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 100605006006006 in words is "one hundred trillion, six hundred five billion, six million, six thousand, six".