51260100 has 216 divisors, whose sum is σ = 172801440. Its totient is φ = 11658240.

The previous prime is 51260039. The next prime is 51260101. The reversal of 51260100 is 106215.

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 51260100.

It is not an unprimeable number, because it can be changed into a prime (51260101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2228689 + ... + 2228711.

Almost surely, 2^51260100 is an apocalyptic number.

51260100 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 51260100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400720).

51260100 is an abundant number, since it is smaller than the sum of its proper divisors (121541340).

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

51260100 is a wasteful number, since it uses less digits than its factorization.

51260100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 51260100 is about 7159.6159114858. The cubic root of 51260100 is about 371.4723412775.

Adding to 51260100 its reverse (106215), we get a palindrome (51366315).

It can be divided in two parts, 51260 and 100, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 51260100 in words is "fifty-one million, two hundred sixty thousand, one hundred".