540100100 has 72 divisors (see below), whose sum is σ = 1223937288. Its totient is φ = 206668800.

The previous prime is 540100079. The next prime is 540100103. The reversal of 540100100 is 1001045.

It can be written as a sum of positive squares in 12 ways, for example, as 346778884 + 193321216 = 18622^2 + 13904^2 .

It is not an unprimeable number, because it can be changed into a prime (540100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224504 + ... + 226896.

It is an arithmetic number, because the mean of its divisors is an integer number (16999129).

Almost surely, 2^540100100 is an apocalyptic number.

540100100 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 540100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611968644).

540100100 is an abundant number, since it is smaller than the sum of its proper divisors (683837188).

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

540100100 is a wasteful number, since it uses less digits than its factorization.

540100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 540100100 is about 23240.0537865126. The cubic root of 540100100 is about 814.3755991296.

Adding to 540100100 its reverse (1001045), we get a palindrome (541101145).

The spelling of 540100100 in words is "five hundred forty million, one hundred thousand, one hundred".