8199100 has 144 divisors (see below), whose sum is σ = 23623488. Its totient is φ = 2396160.

The previous prime is 8199091. The next prime is 8199101. The reversal of 8199100 is 19918.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8199101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154674 + ... + 154726.

It is an arithmetic number, because the mean of its divisors is an integer number (164052).

Almost surely, 2^8199100 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 8199100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11811744).

8199100 is an abundant number, since it is smaller than the sum of its proper divisors (15424388).

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

8199100 is a wasteful number, since it uses less digits than its factorization.

8199100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The square root of 8199100 is about 2863.4070615265. The cubic root of 8199100 is about 201.6455897043.

It can be divided in two parts, 819 and 9100, that multiplied together give a square (7452900 = 2730²).

The spelling of 8199100 in words is "eight million, one hundred ninety-nine thousand, one hundred".