51298100 has 162 divisors, whose sum is σ = 141377670. Its totient is φ = 16087680.

The previous prime is 51298099. The next prime is 51298111. The reversal of 51298100 is 189215.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3467044 + 47831056 = 1862^2 + 6916^2 .

It is a super-2 number, since 2×51298100² = 5262990127220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51298100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1768886 + ... + 1768914.

Almost surely, 2^51298100 is an apocalyptic number.

51298100 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 51298100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70688835).

51298100 is an abundant number, since it is smaller than the sum of its proper divisors (90079570).

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

51298100 is a wasteful number, since it uses less digits than its factorization.

51298100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 51298100 is about 7162.2691934889. The cubic root of 51298100 is about 371.5641115645.

The spelling of 51298100 in words is "fifty-one million, two hundred ninety-eight thousand, one hundred".