10205700000 has 144 divisors (see below), whose sum is σ = 33486294240. Its totient is φ = 2721440000.

The previous prime is 10205699983. The next prime is 10205700013. The reversal of 10205700000 is 750201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 282991 + ... + 317009.

It is an arithmetic number, because the mean of its divisors is an integer number (232543710).

Almost surely, 2^10205700000 is an apocalyptic number.

10205700000 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 10205700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16743147120).

10205700000 is an abundant number, since it is smaller than the sum of its proper divisors (23280594240).

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

10205700000 is an frugal number, since it uses more digits than its factorization.

10205700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34057 (or 34029 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The spelling of 10205700000 in words is "ten billion, two hundred five million, seven hundred thousand".