10086068300 has 288 divisors, whose sum is σ = 29158133760. Its totient is φ = 2933280000.

The previous prime is 10086068299. The next prime is 10086068339. The reversal of 10086068300 is 386068001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10386815 + ... + 10387785.

It is an arithmetic number, because the mean of its divisors is an integer number (101243520).

Almost surely, 2^10086068300 is an apocalyptic number.

10086068300 is a gapful number since it is divisible by the number (10) 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 10086068300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14579066880).

10086068300 is an abundant number, since it is smaller than the sum of its proper divisors (19072065460).

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

10086068300 is a wasteful number, since it uses less digits than its factorization.

10086068300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 10086068300 in words is "ten billion, eighty-six million, sixty-eight thousand, three hundred".