10066305700 has 72 divisors (see below), whose sum is σ = 23846598720. Its totient is φ = 3657878400.

The previous prime is 10066305679. The next prime is 10066305701. The reversal of 10066305700 is 750366001.

It is not an unprimeable number, because it can be changed into a prime (10066305701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2273689 + ... + 2278111.

It is an arithmetic number, because the mean of its divisors is an integer number (331202760).

Almost surely, 2^10066305700 is an apocalyptic number.

10066305700 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 10066305700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11923299360).

10066305700 is an abundant number, since it is smaller than the sum of its proper divisors (13780293020).

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

10066305700 is a wasteful number, since it uses less digits than its factorization.

10066305700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6517 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 10066305700 in words is "ten billion, sixty-six million, three hundred five thousand, seven hundred".