51182100 has 216 divisors, whose sum is σ = 173660760. Its totient is φ = 12579840.

The previous prime is 51182077. The next prime is 51182101. The reversal of 51182100 is 128115.

51182100 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 12 ways, for example, as 1648656 + 49533444 = 1284^2 + 7038^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51182101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 965674 + ... + 965726.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 2^51182100 is an apocalyptic number.

51182100 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 51182100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86830380).

51182100 is an abundant number, since it is smaller than the sum of its proper divisors (122478660).

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

51182100 is a wasteful number, since it uses less digits than its factorization.

51182100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 51182100 is about 7154.1666181324. The cubic root of 51182100 is about 371.2838284992.

The spelling of 51182100 in words is "fifty-one million, one hundred eighty-two thousand, one hundred".