6105000006 has 24 divisors (see below), whose sum is σ = 15117143184. Its totient is φ = 1744285680.

The previous prime is 6104999983. The next prime is 6105000017. The reversal of 6105000006 is 6000005016.

6105000006 is a `hidden beast` number, since 610 + 50 + 0 + 0 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24226065 + ... + 24226316.

It is an arithmetic number, because the mean of its divisors is an integer number (629880966).

Almost surely, 2^6105000006 is an apocalyptic number.

6105000006 is an abundant number, since it is smaller than the sum of its proper divisors (9012143178).

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

6105000006 is a wasteful number, since it uses less digits than its factorization.

6105000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48452396 (or 48452393 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6105000006 is about 78134.4994608656. The cubic root of 6105000006 is about 1827.6592252054.

It can be divided in two parts, 6 and 105000006, that multiplied together give a palindrome (630000036).

The spelling of 6105000006 in words is "six billion, one hundred five million, six", and thus it is an aban number.