51322100 has 36 divisors (see below), whose sum is σ = 111972000. Its totient is φ = 20417760.

The previous prime is 51322087. The next prime is 51322157. The reversal of 51322100 is 122315.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18611 + ... + 21189.

Almost surely, 2^51322100 is an apocalyptic number.

51322100 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 51322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55986000).

51322100 is an abundant number, since it is smaller than the sum of its proper divisors (60649900).

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

51322100 is a wasteful number, since it uses less digits than its factorization.

51322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 51322100 is about 7163.9444442290. The cubic root of 51322100 is about 371.6220483974.

Adding to 51322100 its reverse (122315), we get a palindrome (51444415).

The spelling of 51322100 in words is "fifty-one million, three hundred twenty-two thousand, one hundred".