6000100 has 36 divisors (see below), whose sum is σ = 13475700. Its totient is φ = 2316160.

The previous prime is 6000073. The next prime is 6000101. The reversal of 6000100 is 10006.

It can be written as a sum of positive squares in 6 ways, for example, as 589824 + 5410276 = 768^2 + 2326^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1866 + ... + 3934.

It is an arithmetic number, because the mean of its divisors is an integer number (374325).

Almost surely, 2^6000100 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 6000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6737850).

6000100 is an abundant number, since it is smaller than the sum of its proper divisors (7475600).

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

6000100 is a wasteful number, since it uses less digits than its factorization.

6000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 6000100 is about 2449.5101551127. The cubic root of 6000100 is about 181.7130687890.

Adding to 6000100 its reverse (10006), we get a palindrome (6010106).

The spelling of 6000100 in words is "six million, one hundred", and thus it is an aban number.