8198100 has 54 divisors (see below), whose sum is σ = 25699310. Its totient is φ = 2185920.

The previous prime is 8198087. The next prime is 8198107. The reversal of 8198100 is 18918.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 8191044 = 84^2 + 2862^2 .

It is a super-2 number, since 2×8198100² = 134417687220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8198107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3655 + ... + 5454.

Almost surely, 2^8198100 is an apocalyptic number.

It is an amenable number.

8198100 is an abundant number, since it is smaller than the sum of its proper divisors (17501210).

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

8198100 is a wasteful number, since it uses less digits than its factorization.

8198100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9129 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 8198100 is about 2863.2324390451. The cubic root of 8198100 is about 201.6373914960.

The spelling of 8198100 in words is "eight million, one hundred ninety-eight thousand, one hundred".