6005105460 has 36 divisors (see below), whose sum is σ = 18215487108. Its totient is φ = 1601361408.

The previous prime is 6005105453. The next prime is 6005105461. The reversal of 6005105460 is 645015006.

It is a happy number.

6005105460 is a `hidden beast` number, since 600 + 5 + 1 + 0 + 54 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 709050384 + 5296055076 = 26628^2 + 72774^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6005105460² = 72122583171443623200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005105461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16680669 + ... + 16681028.

It is an arithmetic number, because the mean of its divisors is an integer number (505985753).

Almost surely, 2^6005105460 is an apocalyptic number.

6005105460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005105460 is an abundant number, since it is smaller than the sum of its proper divisors (12210381648).

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

6005105460 is a wasteful number, since it uses less digits than its factorization.

6005105460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33361712 (or 33361707 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6005105460 is about 77492.6155191577. The cubic root of 6005105460 is about 1817.6358487422.

The spelling of 6005105460 in words is "six billion, five million, one hundred five thousand, four hundred sixty".