51105105114 has 128 divisors (see below), whose sum is σ = 121199984640. Its totient is φ = 14064249024.

The previous prime is 51105105091. The next prime is 51105105119. The reversal of 51105105114 is 41150150115.

It is a super-2 number, since 2×51105105114² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51105105119) 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 63 ways as a sum of consecutive naturals, for example, 62095707 + ... + 62096529.

It is an arithmetic number, because the mean of its divisors is an integer number (946874880).

Almost surely, 2^51105105114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51105105114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60599992320).

51105105114 is an abundant number, since it is smaller than the sum of its proper divisors (70094879526).

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

51105105114 is a wasteful number, since it uses less digits than its factorization.

51105105114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344.

The product of its (nonzero) digits is 500, while the sum is 24.

Adding to 51105105114 its reverse (41150150115), we get a palindrome (92255255229).

The spelling of 51105105114 in words is "fifty-one billion, one hundred five million, one hundred five thousand, one hundred fourteen".