51044100 has 72 divisors (see below), whose sum is σ = 148532160. Its totient is φ = 13534080.

The previous prime is 51044093. The next prime is 51044111. The reversal of 51044100 is 144015.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 51044100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68329 + ... + 69071.

Almost surely, 2^51044100 is an apocalyptic number.

51044100 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 51044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74266080).

51044100 is an abundant number, since it is smaller than the sum of its proper divisors (97488060).

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

51044100 is a wasteful number, since it uses less digits than its factorization.

51044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 51044100 is about 7144.5153789463. The cubic root of 51044100 is about 370.9498361665.

Adding to 51044100 its reverse (144015), we get a palindrome (51188115).

The spelling of 51044100 in words is "fifty-one million, forty-four thousand, one hundred".