8103200 has 72 divisors (see below), whose sum is σ = 22623552. Its totient is φ = 2776320.

The previous prime is 8103187. The next prime is 8103229. The reversal of 8103200 is 23018.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4877 + ... + 6323.

It is an arithmetic number, because the mean of its divisors is an integer number (314216).

Almost surely, 2^8103200 is an apocalyptic number.

8103200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11311776).

8103200 is an abundant number, since it is smaller than the sum of its proper divisors (14520352).

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

8103200 is a wasteful number, since it uses less digits than its factorization.

8103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 8103200 is about 2846.6120213334. The cubic root of 8103200 is about 200.8563282765.

Adding to 8103200 its reverse (23018), we get a palindrome (8126218).

The spelling of 8103200 in words is "eight million, one hundred three thousand, two hundred".