806003342100 has 648 divisors, whose sum is σ = 2999543391936. Its totient is φ = 179389440000.

The previous prime is 806003342077. The next prime is 806003342147. The reversal of 806003342100 is 1243300608.

It is a happy number.

806003342100 is a `hidden beast` number, since 8 + 0 + 600 + 3 + 3 + 42 + 10 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 117301665 + ... + 117308535.

Almost surely, 2^806003342100 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 806003342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499771695968).

806003342100 is an abundant number, since it is smaller than the sum of its proper divisors (2193540049836).

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

806003342100 is a wasteful number, since it uses less digits than its factorization.

806003342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6977 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 806003342100 its reverse (1243300608), we get a palindrome (807246642708).

The spelling of 806003342100 in words is "eight hundred six billion, three million, three hundred forty-two thousand, one hundred".