54100 has 18 divisors (see below), whose sum is σ = 117614. Its totient is φ = 21600.

The previous prime is 54091. The next prime is 54101. The reversal of 54100 is 145.

54100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2116 + 51984 = 46^2 + 228^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54101) by changing a digit.

54100 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 5 ways as a sum of consecutive naturals, for example, 171 + ... + 370.

2⁵⁴¹⁰⁰ is an apocalyptic number.

54100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54100 is an abundant number, since it is smaller than the sum of its proper divisors (63514).

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

54100 is a wasteful number, since it uses less digits than its factorization.

54100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 54100 is about 232.5940669923. The cubic root of 54100 is about 37.8209489805.

Adding to 54100 its reverse (145), we get a palindrome (54245).

The spelling of 54100 in words is "fifty-four thousand, one hundred".