8100200 has 48 divisors (see below), whose sum is σ = 19066860. Its totient is φ = 3200000.

The previous prime is 8100181. The next prime is 8100203. The reversal of 8100200 is 20018.

It can be written as a sum of positive squares in 6 ways, for example, as 7431076 + 669124 = 2726^2 + 818^2 .

It is a super-2 number, since 2×8100200² = 131226480080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8100203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20000 + ... + 20400.

Almost surely, 2^8100200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533430).

8100200 is an abundant number, since it is smaller than the sum of its proper divisors (10966660).

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

8100200 is a wasteful number, since it uses less digits than its factorization.

8100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 8100200 is about 2846.0850303531. The cubic root of 8100200 is about 200.8315379319.

Adding to 8100200 its reverse (20018), we get a palindrome (8120218).

The spelling of 8100200 in words is "eight million, one hundred thousand, two hundred".