51050006106 has 64 divisors (see below), whose sum is σ = 113778432000. Its totient is φ = 15139396800.

The previous prime is 51050006101. The next prime is 51050006143. The reversal of 51050006106 is 60160005015.

51050006106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51050006106² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51050006101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769315 + ... + 833033.

It is an arithmetic number, because the mean of its divisors is an integer number (1777788000).

Almost surely, 2^51050006106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51050006106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56889216000).

51050006106 is an abundant number, since it is smaller than the sum of its proper divisors (62728425894).

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

51050006106 is a wasteful number, since it uses less digits than its factorization.

51050006106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63995.

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

The spelling of 51050006106 in words is "fifty-one billion, fifty million, six thousand, one hundred six".