6106006016 has 160 divisors (see below), whose sum is σ = 14090098176. Its totient is φ = 2617344000.

The previous prime is 6106006013. The next prime is 6106006051.

6106006016 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6106006013) 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 15 ways as a sum of consecutive naturals, for example, 7157846 + ... + 7158698.

Almost surely, 2^6106006016 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 6106006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045049088).

6106006016 is an abundant number, since it is smaller than the sum of its proper divisors (7984092160).

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

6106006016 is a wasteful number, since it uses less digits than its factorization.

6106006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 6106006016 is about 78140.9368769021. The cubic root of 6106006016 is about 1827.7596097247.

It can be divided in two parts, 610600 and 6016, that added together give a palindrome (616616).

The spelling of 6106006016 in words is "six billion, one hundred six million, six thousand, sixteen".