5005105116 has 48 divisors (see below), whose sum is σ = 13489701120. Its totient is φ = 1427480320.

The previous prime is 5005105109. The next prime is 5005105129. The reversal of 5005105116 is 6115015005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1112976 + ... + 1117463.

It is an arithmetic number, because the mean of its divisors is an integer number (281035440).

Almost surely, 2^5005105116 is an apocalyptic number.

It is an amenable number.

5005105116 is an abundant number, since it is smaller than the sum of its proper divisors (8484596004).

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

5005105116 is a wasteful number, since it uses less digits than its factorization.

5005105116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230474 (or 2230472 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 5005105116 is about 70746.7675303968. The cubic root of 5005105116 is about 1710.5577237566.

The spelling of 5005105116 in words is "five billion, five million, one hundred five thousand, one hundred sixteen".