9808100 has 18 divisors (see below), whose sum is σ = 21283794. Its totient is φ = 3923200.

The previous prime is 9808093. The next prime is 9808109. The reversal of 9808100 is 18089.

It can be written as a sum of positive squares in 3 ways, for example, as 23716 + 9784384 = 154^2 + 3128^2 .

It is a super-2 number, since 2×9808100² = 192397651220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9808100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9808109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48941 + ... + 49140.

It is an arithmetic number, because the mean of its divisors is an integer number (1182433).

Almost surely, 2^9808100 is an apocalyptic number.

It is an amenable number.

9808100 is an abundant number, since it is smaller than the sum of its proper divisors (11475694).

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

9808100 is a wasteful number, since it uses less digits than its factorization.

9808100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98095 (or 98088 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 9808100 is about 3131.7886263284. The cubic root of 9808100 is about 214.0564383706.

The spelling of 9808100 in words is "nine million, eight hundred eight thousand, one hundred".