680900100 has 72 divisors (see below), whose sum is σ = 1976311008. Its totient is φ = 180998400.

The previous prime is 680900083. The next prime is 680900123. The reversal of 680900100 is 1009086.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95872 + ... + 102728.

It is an arithmetic number, because the mean of its divisors is an integer number (27448764).

Almost surely, 2^680900100 is an apocalyptic number.

680900100 is a gapful number since it is divisible by the number (60) 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 680900100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988155504).

680900100 is an abundant number, since it is smaller than the sum of its proper divisors (1295410908).

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

680900100 is a wasteful number, since it uses less digits than its factorization.

680900100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7205 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 680900100 is about 26094.0625430384. The cubic root of 680900100 is about 879.7537620280.

Adding to 680900100 its reverse (1009086), we get a palindrome (681909186).

The spelling of 680900100 in words is "six hundred eighty million, nine hundred thousand, one hundred".