5006105101074 has 192 divisors, whose sum is σ = 13499392919040. Its totient is φ = 1220336651520.

The previous prime is 5006105101073. The next prime is 5006105101133. The reversal of 5006105101074 is 4701015016005.

It is a super-2 number, since 2×5006105101074² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5006105101073) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6194014 + ... + 6955430.

It is an arithmetic number, because the mean of its divisors is an integer number (70309338120).

Almost surely, 2^{5006105101074} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006105101074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749696459520).

5006105101074 is an abundant number, since it is smaller than the sum of its proper divisors (8493287817966).

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

5006105101074 is a wasteful number, since it uses less digits than its factorization.

5006105101074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761573 (or 761566 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 5006105101074 in words is "five trillion, six billion, one hundred five million, one hundred one thousand, seventy-four".