51056000100 has 432 divisors, whose sum is σ = 193470950400. Its totient is φ = 11001173760.

The previous prime is 51056000071. The next prime is 51056000111. The reversal of 51056000100 is 100065015.

51056000100 is a `hidden beast` number, since 5 + 1 + 0 + 560 + 0 + 0 + 100 = 666.

It is a super-2 number, since 2×51056000100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27170961 + ... + 27172839.

Almost surely, 2^51056000100 is an apocalyptic number.

51056000100 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 51056000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96735475200).

51056000100 is an abundant number, since it is smaller than the sum of its proper divisors (142414950300).

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

51056000100 is a wasteful number, since it uses less digits than its factorization.

51056000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 51056000100 its reverse (100065015), we get a palindrome (51156065115).

The spelling of 51056000100 in words is "fifty-one billion, fifty-six million, one hundred", and thus it is an aban number.