98208100 has 27 divisors (see below), whose sum is σ = 213326841. Its totient is φ = 39243600.

The previous prime is 98208083. The next prime is 98208113. The reversal of 98208100 is 180289.

The square root of 98208100 is 9910.

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., 35354916 + 62853184 = 5946^2 + 7928^2 .

It is a super-2 number, since 2×98208100² = 19289661811220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98605 + ... + 99595.

Almost surely, 2^98208100 is an apocalyptic number.

98208100 is the 9910-th square number.

It is an amenable number.

98208100 is an abundant number, since it is smaller than the sum of its proper divisors (115118741).

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

98208100 is an equidigital number, since it uses as much as digits as its factorization.

98208100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The cubic root of 98208100 is about 461.3697358332.

Adding to 98208100 its reverse (180289), we get a palindrome (98388389).

The spelling of 98208100 in words is "ninety-eight million, two hundred eight thousand, one hundred".