10900804838 has 96 divisors (see below), whose sum is σ = 22359587328. Its totient is φ = 3858624000.

The previous prime is 10900804819. The next prime is 10900804933. The reversal of 10900804838 is 83840800901.

10900804838 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 2×10900804838² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10900804795 and 10900804804.

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 47 ways as a sum of consecutive naturals, for example, 2199263 + ... + 2204213.

It is an arithmetic number, because the mean of its divisors is an integer number (232912368).

Almost surely, 2^10900804838 is an apocalyptic number.

10900804838 is an abundant number, since it is smaller than the sum of its proper divisors (11458782490).

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

10900804838 is a wasteful number, since it uses less digits than its factorization.

10900804838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 10900804838 in words is "ten billion, nine hundred million, eight hundred four thousand, eight hundred thirty-eight".