10205320000 has 70 divisors (see below), whose sum is σ = 25305976058. Its totient is φ = 4082112000.

The previous prime is 10205319991. The next prime is 10205320009. The reversal of 10205320000 is 2350201.

It is an interprime number because it is at equal distance from previous prime (10205319991) and next prime (10205320009).

It can be written as a sum of positive squares in 5 ways, for example, as 4428103936 + 5777216064 = 66544^2 + 76008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205320009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 87567 + ... + 167566.

Almost surely, 2^10205320000 is an apocalyptic number.

10205320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205320000 is an abundant number, since it is smaller than the sum of its proper divisors (15100656058).

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

10205320000 is an frugal number, since it uses more digits than its factorization.

10205320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255165 (or 255140 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 10205320000 its reverse (2350201), we get a palindrome (10207670201).

The spelling of 10205320000 in words is "ten billion, two hundred five million, three hundred twenty thousand".