8822100 has 72 divisors (see below), whose sum is σ = 29178688. Its totient is φ = 2016000.

The previous prime is 8822071. The next prime is 8822101. The reversal of 8822100 is 12288.

8822100 is a nontrivial binomial coefficient, being equal to C(4201, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8822101) 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 23 ways as a sum of consecutive naturals, for example, 1 + ... + 4200.

Almost surely, 2^8822100 is an apocalyptic number.

8822100 is the 4200-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8822100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14589344).

8822100 is an abundant number, since it is smaller than the sum of its proper divisors (20356588).

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

8822100 is a wasteful number, since it uses less digits than its factorization.

8822100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8822100 is about 2970.2020133318. The cubic root of 8822100 is about 206.6287073305.

Adding to 8822100 its reverse (12288), we get a palindrome (8834388).

The spelling of 8822100 in words is "eight million, eight hundred twenty-two thousand, one hundred".