10205452300 has 72 divisors (see below), whose sum is σ = 22789166400. Its totient is φ = 3964672320.

The previous prime is 10205452297. The next prime is 10205452333. The reversal of 10205452300 is 325450201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 763071 + ... + 776329.

It is an arithmetic number, because the mean of its divisors is an integer number (316516200).

Almost surely, 2^10205452300 is an apocalyptic number.

10205452300 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 10205452300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11394583200).

10205452300 is an abundant number, since it is smaller than the sum of its proper divisors (12583714100).

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

10205452300 is a wasteful number, since it uses less digits than its factorization.

10205452300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13495 (or 13488 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The spelling of 10205452300 in words is "ten billion, two hundred five million, four hundred fifty-two thousand, three hundred".