10205324700 has 72 divisors (see below), whose sum is σ = 29623853952. Its totient is φ = 2712530880.

The previous prime is 10205324683. The next prime is 10205324711. The reversal of 10205324700 is 742350201.

It is a congruent number.

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, 36697 + ... + 147503.

It is an arithmetic number, because the mean of its divisors is an integer number (411442416).

Almost surely, 2^10205324700 is an apocalyptic number.

10205324700 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 10205324700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811926976).

10205324700 is an abundant number, since it is smaller than the sum of its proper divisors (19418529252).

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

10205324700 is a wasteful number, since it uses less digits than its factorization.

10205324700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111131 (or 111124 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 10205324700 its reverse (742350201), we get a palindrome (10947674901).

The spelling of 10205324700 in words is "ten billion, two hundred five million, three hundred twenty-four thousand, seven hundred".