6005105000 has 40 divisors (see below), whose sum is σ = 14069972730. Its totient is φ = 2402040000.

The previous prime is 6005104999. The next prime is 6005105009. The reversal of 6005105000 is 5015006.

It can be written as a sum of positive squares in 5 ways, for example, as 97337956 + 5907767044 = 9866^2 + 76862^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×6005105000² = 72122572122050000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6005105000.

It is not an unprimeable number, because it can be changed into a prime (6005105009) 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 9 ways as a sum of consecutive naturals, for example, 595511 + ... + 605510.

Almost surely, 2^6005105000 is an apocalyptic number.

It is an amenable number.

6005105000 is an abundant number, since it is smaller than the sum of its proper divisors (8064867730).

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

6005105000 is a wasteful number, since it uses less digits than its factorization.

6005105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201047 (or 1201028 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 6005105000 is about 77492.6125511329. The cubic root of 6005105000 is about 1817.6358023310.

The spelling of 6005105000 in words is "six billion, five million, one hundred five thousand".