6005102800 has 60 divisors (see below), whose sum is σ = 14642657056. Its totient is φ = 2366179200.

The previous prime is 6005102759. The next prime is 6005102809. The reversal of 6005102800 is 82015006.

It is a happy number.

It is a super-2 number, since 2×6005102800² = 72122519277135680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005102809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85236 + ... + 138835.

Almost surely, 2^6005102800 is an apocalyptic number.

It is an amenable number.

6005102800 is an abundant number, since it is smaller than the sum of its proper divisors (8637554256).

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

6005102800 is a wasteful number, since it uses less digits than its factorization.

6005102800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224156 (or 224145 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 6005102800 is about 77492.5983562301. The cubic root of 6005102800 is about 1817.6355803643.

Adding to 6005102800 its reverse (82015006), we get a palindrome (6087117806).

The spelling of 6005102800 in words is "six billion, five million, one hundred two thousand, eight hundred".