9858504100 has 27 divisors (see below), whose sum is σ = 21395108707. Its totient is φ = 3943004480.

The previous prime is 9858504077. The next prime is 9858504127. The reversal of 9858504100 is 14058589.

The square root of 9858504100 is 99290.

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

9858504100 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 1900436836 + 7958067264 = 43594^2 + 89208^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 987936 + ... + 997864.

Almost surely, 2^9858504100 is an apocalyptic number.

9858504100 is the 99290-th square number.

It is an amenable number.

9858504100 is an abundant number, since it is smaller than the sum of its proper divisors (11536604607).

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

9858504100 is an frugal number, since it uses more digits than its factorization.

9858504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19872 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The cubic root of 9858504100 is about 2144.2249270337.

Multiplying 9858504100 by its product of nonzero digits (57600), we get a square (567849836160000 = 23829600²).

The spelling of 9858504100 in words is "nine billion, eight hundred fifty-eight million, five hundred four thousand, one hundred".