10247512900 has 81 divisors (see below), whose sum is σ = 22783871383. Its totient is φ = 4000609600.

The previous prime is 10247512889. The next prime is 10247512921. The reversal of 10247512900 is 921574201.

The square root of 10247512900 is 101230.

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

It can be written as a sum of positive squares in 4 ways, for example, as 77193796 + 10170319104 = 8786^2 + 100848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53651805 + ... + 53651995.

Almost surely, 2^10247512900 is an apocalyptic number.

10247512900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10247512900 is the 101230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10247512900

10247512900 is an abundant number, since it is smaller than the sum of its proper divisors (12536358483).

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

10247512900 is an equidigital number, since it uses as much as digits as its factorization.

10247512900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 10247512900 in words is "ten billion, two hundred forty-seven million, five hundred twelve thousand, nine hundred".