985332100 has 81 divisors (see below), whose sum is σ = 2219449743. Its totient is φ = 379693440.

The previous prime is 985332097. The next prime is 985332133. The reversal of 985332100 is 1233589.

It is a happy number.

The square root of 985332100 is 31390.

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 5391684 + 979940416 = 2322^2 + 31304^2 .

It is a Duffinian number.

It is a nialpdrome in base 10.

It is an unprimeable number.

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, 13497664 + ... + 13497736.

Almost surely, 2^985332100 is an apocalyptic number.

985332100 is the 31390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985332100

985332100 is an abundant number, since it is smaller than the sum of its proper divisors (1234117643).

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

985332100 is a wasteful number, since it uses less digits than its factorization.

985332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 985332100 is about 995.0865980200.

Adding to 985332100 its reverse (1233589), we get a palindrome (986565689).

The spelling of 985332100 in words is "nine hundred eighty-five million, three hundred thirty-two thousand, one hundred".