680443512100 has 81 divisors (see below), whose sum is σ = 1623214821361. Its totient is φ = 247401008800.

The previous prime is 680443512017. The next prime is 680443512101. The reversal of 680443512100 is 1215344086.

The square root of 680443512100 is 824890.

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

It can be written as a sum of positive squares in only one way, i.e., 244959664356 + 435483847744 = 494934^2 + 659912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (680443512101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90734151 + ... + 90741649.

Almost surely, 2^680443512100 is an apocalyptic number.

680443512100 is the 824890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680443512100

680443512100 is an abundant number, since it is smaller than the sum of its proper divisors (942771309261).

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

680443512100 is an equidigital number, since it uses as much as digits as its factorization.

680443512100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15034 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 680443512100 its reverse (1215344086), we get a palindrome (681658856186).

The spelling of 680443512100 in words is "six hundred eighty billion, four hundred forty-three million, five hundred twelve thousand, one hundred".