6001005100 has 72 divisors (see below), whose sum is σ = 13824146448. Its totient is φ = 2253312000.

The previous prime is 6001005097. The next prime is 6001005107. The reversal of 6001005100 is 15001006.

It is not an unprimeable number, because it can be changed into a prime (6001005107) 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 23 ways as a sum of consecutive naturals, for example, 677299 + ... + 686101.

It is an arithmetic number, because the mean of its divisors is an integer number (192002034).

Almost surely, 2^6001005100 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 6001005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912073224).

6001005100 is an abundant number, since it is smaller than the sum of its proper divisors (7823141348).

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

6001005100 is a wasteful number, since it uses less digits than its factorization.

6001005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9235 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 6001005100 is about 77466.1545450657. The cubic root of 6001005100 is about 1817.2220531618. Note that the first 3 decimals are identical.

Adding to 6001005100 its reverse (15001006), we get a palindrome (6016006106).

The spelling of 6001005100 in words is "six billion, one million, five thousand, one hundred".