10103200000 has 216 divisors, whose sum is σ = 25700058216. Its totient is φ = 3962880000.

The previous prime is 10103199979. The next prime is 10103200001. The reversal of 10103200000 is 230101.

It can be written as a sum of positive squares in 12 ways, for example, as 9151600896 + 951599104 = 95664^2 + 30848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103200001) 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, 58399914 + ... + 58400086.

It is an arithmetic number, because the mean of its divisors is an integer number (118981751).

Almost surely, 2^10103200000 is an apocalyptic number.

10103200000 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 10103200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12850029108).

10103200000 is an abundant number, since it is smaller than the sum of its proper divisors (15596858216).

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

10103200000 is an frugal number, since it uses more digits than its factorization.

10103200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10103200000 its reverse (230101), we get a palindrome (10103430101).

The spelling of 10103200000 in words is "ten billion, one hundred three million, two hundred thousand".