51060006000100 has 72 divisors (see below), whose sum is σ = 111552348192768. Its totient is φ = 20285404512000.

The previous prime is 51060006000089. The next prime is 51060006000103. The reversal of 51060006000100 is 100060006015.

It is a super-3 number, since 3×51060006000100³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (51060006000103) 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, 92484072 + ... + 93034528.

It is an arithmetic number, because the mean of its divisors is an integer number (1549338169344).

Almost surely, 2^{51060006000100} is an apocalyptic number.

51060006000100 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 51060006000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55776174096384).

51060006000100 is an abundant number, since it is smaller than the sum of its proper divisors (60492342192668).

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

51060006000100 is a wasteful number, since it uses less digits than its factorization.

51060006000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556765 (or 556758 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 51060006000100 its reverse (100060006015), we get a palindrome (51160066006115).

The spelling of 51060006000100 in words is "fifty-one trillion, sixty billion, six million, one hundred", and thus it is an aban number.