5106106005 has 288 divisors, whose sum is σ = 11644000128. Its totient is φ = 1886976000.

The previous prime is 5106106003. The next prime is 5106106063. The reversal of 5106106005 is 5006016015.

It is not a de Polignac number, because 5106106005 - 2¹ = 5106106003 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106106003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50555455 + ... + 50555555.

It is an arithmetic number, because the mean of its divisors is an integer number (40430556).

Almost surely, 2^5106106005 is an apocalyptic number.

5106106005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5106106005 is an abundant number, since it is smaller than the sum of its proper divisors (6537894123).

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

5106106005 is a wasteful number, since it uses less digits than its factorization.

5106106005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5106106005 is about 71457.0220832075. The cubic root of 5106106005 is about 1721.9872925231.

It can be divided in two parts, 510610 and 6005, that added together give a palindrome (516615).

The spelling of 5106106005 in words is "five billion, one hundred six million, one hundred six thousand, five".