10303008628900 has 81 divisors (see below), whose sum is σ = 24210612240003. Its totient is φ = 3804033729600.

The previous prime is 10303008628877. The next prime is 10303008628903. The reversal of 10303008628900 is 982680030301.

The square root of 10303008628900 is 3209830.

It is a perfect power (a square), and thus also a powerful number.

10303008628900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2655615715236 + 7647392913664 = 1629606^2 + 2765392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10303008628903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 417265555 + ... + 417290245.

Almost surely, 2^{10303008628900} is an apocalyptic number.

10303008628900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10303008628900 is the 3209830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10303008628900

10303008628900 is an abundant number, since it is smaller than the sum of its proper divisors (13907603611103).

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

10303008628900 is an frugal number, since it uses more digits than its factorization.

10303008628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49422 (or 24711 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 10303008628900 in words is "ten trillion, three hundred three billion, eight million, six hundred twenty-eight thousand, nine hundred".