10084075904 has 96 divisors (see below), whose sum is σ = 23599442160. Its totient is φ = 4204431360.

The previous prime is 10084075889. The next prime is 10084075907. The reversal of 10084075904 is 40957048001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084075907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1222514 + ... + 1230734.

Almost surely, 2^10084075904 is an apocalyptic number.

10084075904 is a gapful number since it is divisible by the number (14) 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 10084075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799721080).

10084075904 is an abundant number, since it is smaller than the sum of its proper divisors (13515366256).

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

10084075904 is an frugal number, since it uses more digits than its factorization.

10084075904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 10084075904 in words is "ten billion, eighty-four million, seventy-five thousand, nine hundred four".