10084102056 has 96 divisors (see below), whose sum is σ = 31741819200. Its totient is φ = 2832330240.

The previous prime is 10084102031. The next prime is 10084102079. The reversal of 10084102056 is 65020148001.

10084102056 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 2×10084102056² (a number of 21 digits) contains 22 as substring.

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, 139825 + ... + 199296.

It is an arithmetic number, because the mean of its divisors is an integer number (330643950).

Almost surely, 2^10084102056 is an apocalyptic number.

It is an amenable number.

10084102056 is an abundant number, since it is smaller than the sum of its proper divisors (21657717144).

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

10084102056 is a wasteful number, since it uses less digits than its factorization.

10084102056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339199 (or 339192 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10084102056 in words is "ten billion, eighty-four million, one hundred two thousand, fifty-six".