51844100 has 72 divisors (see below), whose sum is σ = 140282688. Its totient is φ = 16156800.

The previous prime is 51844073. The next prime is 51844109. The reversal of 51844100 is 144815.

It is not an unprimeable number, because it can be changed into a prime (51844109) 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, 4334 + ... + 11066.

Almost surely, 2^51844100 is an apocalyptic number.

51844100 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 51844100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70141344).

51844100 is an abundant number, since it is smaller than the sum of its proper divisors (88438588).

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

51844100 is a wasteful number, since it uses less digits than its factorization.

51844100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 51844100 is about 7200.2847165928. The cubic root of 51844100 is about 372.8777304347.

Adding to 51844100 its reverse (144815), we get a palindrome (51988915).

The spelling of 51844100 in words is "fifty-one million, eight hundred forty-four thousand, one hundred".