5105688192 has 192 divisors, whose sum is σ = 16301844000. Its totient is φ = 1520732160.

The previous prime is 5105688191. The next prime is 5105688193. The reversal of 5105688192 is 2918865015.

It is a happy number.

5105688192 is a `hidden beast` number, since 5 + 1 + 0 + 568 + 81 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5105688191) and next prime (5105688193).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (5105688191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744234 + ... + 751062.

Almost surely, 2^5105688192 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 5105688192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150922000).

5105688192 is an abundant number, since it is smaller than the sum of its proper divisors (11196155808).

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

5105688192 is a wasteful number, since it uses less digits than its factorization.

5105688192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6919 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 5105688192 is about 71454.0984968672. The cubic root of 5105688192 is about 1721.9403233780.

The spelling of 5105688192 in words is "five billion, one hundred five million, six hundred eighty-eight thousand, one hundred ninety-two".