53100 has 54 divisors (see below), whose sum is σ = 169260. Its totient is φ = 13920.

The previous prime is 53093. The next prime is 53101. The reversal of 53100 is 135.

It is a super-2 number, since 2×53100² = 5639220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53100.

It is not an unprimeable number, because it can be changed into a prime (53101) by changing a digit.

53100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 871 + ... + 929.

2⁵³¹⁰⁰ is an apocalyptic number.

53100 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 53100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84630).

53100 is an abundant number, since it is smaller than the sum of its proper divisors (116160).

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

53100 is a wasteful number, since it uses less digits than its factorization.

53100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 53100 is about 230.4343724361. The cubic root of 53100 is about 37.5864671383.

Adding to 53100 its reverse (135), we get a palindrome (53235).

It can be divided in two parts, 53 and 100, that added together give a triangular number (153 = T₁₇).

The spelling of 53100 in words is "fifty-three thousand, one hundred".