8106008430200 has 24 divisors (see below), whose sum is σ = 18846469600680. Its totient is φ = 3242403372000.

The previous prime is 8106008430199. The next prime is 8106008430251. The reversal of 8106008430200 is 20348006018.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20265020876 + ... + 20265021275.

It is an arithmetic number, because the mean of its divisors is an integer number (785269566695).

Almost surely, 2^{8106008430200} is an apocalyptic number.

It is an amenable number.

8106008430200 is an abundant number, since it is smaller than the sum of its proper divisors (10740461170480).

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

8106008430200 is a wasteful number, since it uses less digits than its factorization.

8106008430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40530042167 (or 40530042158 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 8106008430200 in words is "eight trillion, one hundred six billion, eight million, four hundred thirty thousand, two hundred".