5116106000 has 80 divisors (see below), whose sum is σ = 12401051520. Its totient is φ = 2041430400.

The previous prime is 5116105961. The next prime is 5116106033. The reversal of 5116106000 is 6016115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875087 + ... + 880913.

It is an arithmetic number, because the mean of its divisors is an integer number (155013144).

Almost surely, 2^5116106000 is an apocalyptic number.

5116106000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5116106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200525760).

5116106000 is an abundant number, since it is smaller than the sum of its proper divisors (7284945520).

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

5116106000 is a wasteful number, since it uses less digits than its factorization.

5116106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6289 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 5116106000 is about 71526.9599521747. The cubic root of 5116106000 is about 1723.1106949204.

The spelling of 5116106000 in words is "five billion, one hundred sixteen million, one hundred six thousand".