51984100 has 81 divisors (see below), whose sum is σ = 132509097. Its totient is φ = 17650080.

The previous prime is 51984089. The next prime is 51984109. The reversal of 51984100 is 148915.

It is a happy number.

The square root of 51984100 is 7210.

It is a perfect power (a square), and thus also a powerful number.

51984100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 18714276 + 33269824 = 4326^2 + 5768^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (51984109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 504649 + ... + 504751.

Almost surely, 2^51984100 is an apocalyptic number.

51984100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51984100 is the 7210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51984100

51984100 is an abundant number, since it is smaller than the sum of its proper divisors (80524997).

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

51984100 is a wasteful number, since it uses less digits than its factorization.

51984100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The cubic root of 51984100 is about 373.2130689014.

The spelling of 51984100 in words is "fifty-one million, nine hundred eighty-four thousand, one hundred".