10309000856 has 64 divisors (see below), whose sum is σ = 24164110080. Its totient is φ = 4005636480.

The previous prime is 10309000847. The next prime is 10309000931. The reversal of 10309000856 is 65800090301.

It is a super-3 number, since 3×10309000856³ (a number of 31 digits) contains 333 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207335 + ... + 252201.

It is an arithmetic number, because the mean of its divisors is an integer number (377564220).

Almost surely, 2^10309000856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10309000856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082055040).

10309000856 is an abundant number, since it is smaller than the sum of its proper divisors (13855109224).

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

10309000856 is a wasteful number, since it uses less digits than its factorization.

10309000856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45264 (or 45260 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 10309000856 in words is "ten billion, three hundred nine million, eight hundred fifty-six", and thus it is an aban number.