100540 has 24 divisors (see below), whose sum is σ = 230832. Its totient is φ = 36480.

The previous prime is 100537. The next prime is 100547. The reversal of 100540 is 45001.

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

100540 is a modest number, since divided by 540 gives 100 as remainder.

It is a plaindrome in base 13 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 448.

It is an arithmetic number, because the mean of its divisors is an integer number (9618).

2¹⁰⁰⁵⁴⁰ is an apocalyptic number.

100540 is a gapful number since it is divisible by the number (10) 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 100540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115416).

100540 is an abundant number, since it is smaller than the sum of its proper divisors (130292).

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

100540 is a wasteful number, since it uses less digits than its factorization.

100540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

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

The square root of 100540 is about 317.0804314366. The cubic root of 100540 is about 46.4992869972.

Adding to 100540 its reverse (45001), we get a palindrome (145541).

The spelling of 100540 in words is "one hundred thousand, five hundred forty".