540100 has 36 divisors (see below), whose sum is σ = 1281168. Its totient is φ = 196000.

The previous prime is 540079. The next prime is 540101. The reversal of 540100 is 1045.

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

It is not an unprimeable number, because it can be changed into a prime (540101) by changing a digit.

540100 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 11 ways as a sum of consecutive naturals, for example, 855 + ... + 1345.

It is an arithmetic number, because the mean of its divisors is an integer number (35588).

2⁵⁴⁰¹⁰⁰ is an apocalyptic number.

540100 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 540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640584).

540100 is an abundant number, since it is smaller than the sum of its proper divisors (741068).

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

540100 is a wasteful number, since it uses less digits than its factorization.

540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 509 counting only the distinct ones).

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

The square root of 540100 is about 734.9149610669. The cubic root of 540100 is about 81.4375548869.

Adding to 540100 its reverse (1045), we get a palindrome (541145).

The spelling of 540100 in words is "five hundred forty thousand, one hundred".