5006105101116 has 288 divisors, whose sum is σ = 14953498560000. Its totient is φ = 1382256658944.

The previous prime is 5006105101073. The next prime is 5006105101133. The reversal of 5006105101116 is 6111015016005.

It is a super-2 number, since 2×5006105101116² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5006105101116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2384994235 + ... + 2384996333.

It is an arithmetic number, because the mean of its divisors is an integer number (51921870000).

Almost surely, 2^{5006105101116} 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 5006105101116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476749280000).

5006105101116 is an abundant number, since it is smaller than the sum of its proper divisors (9947393458884).

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

5006105101116 is a wasteful number, since it uses less digits than its factorization.

5006105101116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 5006105101116 in words is "five trillion, six billion, one hundred five million, one hundred one thousand, one hundred sixteen".