51324100 has 36 divisors (see below), whose sum is σ = 113274000. Its totient is φ = 20179360.

The previous prime is 51324079. The next prime is 51324101. The reversal of 51324100 is 142315.

It is not an unprimeable number, because it can be changed into a prime (51324101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1551 + ... + 10249.

It is an arithmetic number, because the mean of its divisors is an integer number (3146500).

Almost surely, 2^51324100 is an apocalyptic number.

51324100 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 51324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56637000).

51324100 is an abundant number, since it is smaller than the sum of its proper divisors (61949900).

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

51324100 is a wasteful number, since it uses less digits than its factorization.

51324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8772 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 51324100 is about 7164.0840307746. The cubic root of 51324100 is about 371.6268756514.

Adding to 51324100 its reverse (142315), we get a palindrome (51466415).

The spelling of 51324100 in words is "fifty-one million, three hundred twenty-four thousand, one hundred".