10005050808 has 96 divisors (see below), whose sum is σ = 28220400000. Its totient is φ = 3198306048.

The previous prime is 10005050791. The next prime is 10005050821. The reversal of 10005050808 is 80805050001.

10005050808 is a `hidden beast` number, since 100 + 0 + 50 + 508 + 0 + 8 = 666.

10005050808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10005050808² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 295033 + ... + 327191.

It is an arithmetic number, because the mean of its divisors is an integer number (293962500).

Almost surely, 2^10005050808 is an apocalyptic number.

10005050808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005050808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14110200000).

10005050808 is an abundant number, since it is smaller than the sum of its proper divisors (18215349192).

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

10005050808 is a wasteful number, since it uses less digits than its factorization.

10005050808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32349 (or 32342 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 10005050808 in words is "ten billion, five million, fifty thousand, eight hundred eight".