5005105164 has 72 divisors (see below), whose sum is σ = 13323229920. Its totient is φ = 1581161472.

The previous prime is 5005105129. The next prime is 5005105177. The reversal of 5005105164 is 4615015005.

It is a happy number.

5005105164 is a `hidden beast` number, since 500 + 51 + 0 + 51 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62524 + ... + 117980.

It is an arithmetic number, because the mean of its divisors is an integer number (185044860).

Almost surely, 2^5005105164 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 5005105164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661614960).

5005105164 is an abundant number, since it is smaller than the sum of its proper divisors (8318124756).

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

5005105164 is a wasteful number, since it uses less digits than its factorization.

5005105164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55599 (or 55594 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5005105164 is about 70746.7678696349. The cubic root of 5005105164 is about 1710.5577292248.

The spelling of 5005105164 in words is "five billion, five million, one hundred five thousand, one hundred sixty-four".