8820100 has 36 divisors (see below), whose sum is σ = 19280884. Its totient is φ = 3502080.

The previous prime is 8820083. The next prime is 8820121. The reversal of 8820100 is 10288.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 46656 + 8773444 = 216^2 + 2962^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19072 + ... + 19528.

Almost surely, 2^8820100 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 8820100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640442).

8820100 is an abundant number, since it is smaller than the sum of its proper divisors (10460784).

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

8820100 is a wasteful number, since it uses less digits than its factorization.

8820100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 8820100 is about 2969.8653168115. The cubic root of 8820100 is about 206.6130916741.

Adding to 8820100 its reverse (10288), we get a palindrome (8830388).

The spelling of 8820100 in words is "eight million, eight hundred twenty thousand, one hundred".