52100 has 18 divisors (see below), whose sum is σ = 113274. Its totient is φ = 20800.

The previous prime is 52081. The next prime is 52103. The reversal of 52100 is 125.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 51076 = 32^2 + 226^2 .

It is a nialpdrome in base 10 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52100.

It is not an unprimeable number, because it can be changed into a prime (52103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 161 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (6293).

2⁵²¹⁰⁰ is an apocalyptic number.

52100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52100 is an abundant number, since it is smaller than the sum of its proper divisors (61174).

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

52100 is a wasteful number, since it uses less digits than its factorization.

52100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 52100 is about 228.2542442103. The cubic root of 52100 is about 37.3490226007.

Adding to 52100 its reverse (125), we get a palindrome (52225).

The spelling of 52100 in words is "fifty-two thousand, one hundred".