8102900 has 72 divisors (see below), whose sum is σ = 19832064. Its totient is φ = 2851200.

The previous prime is 8102879. The next prime is 8102903. The reversal of 8102900 is 92018.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8102903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29765 + ... + 30035.

Almost surely, 2^8102900 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 8102900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916032).

8102900 is an abundant number, since it is smaller than the sum of its proper divisors (11729164).

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

8102900 is a wasteful number, since it uses less digits than its factorization.

8102900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 8102900 is about 2846.5593266257. The cubic root of 8102900 is about 200.8538495175.

Adding to 8102900 its reverse (92018), we get a palindrome (8194918).

The spelling of 8102900 in words is "eight million, one hundred two thousand, nine hundred".