6002100 has 216 divisors, whose sum is σ = 22116640. Its totient is φ = 1399680.

The previous prime is 6002093. The next prime is 6002111. The reversal of 6002100 is 12006.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 315891 + ... + 315909.

Almost surely, 2^6002100 is an apocalyptic number.

6002100 is a gapful number since it is divisible by the number (60) 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 6002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11058320).

6002100 is an abundant number, since it is smaller than the sum of its proper divisors (16114540).

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

6002100 is a wasteful number, since it uses less digits than its factorization.

6002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 6002100 is about 2449.9183659869. The cubic root of 6002100 is about 181.7332565506.

Adding to 6002100 its reverse (12006), we get a palindrome (6014106).

The spelling of 6002100 in words is "six million, two thousand, one hundred".