540310100 has 72 divisors (see below), whose sum is σ = 1293667200. Its totient is φ = 194233600.

The previous prime is 540310081. The next prime is 540310103. The reversal of 540310100 is 1013045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540310103) 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, 95141 + ... + 100659.

It is an arithmetic number, because the mean of its divisors is an integer number (17967600).

Almost surely, 2^540310100 is an apocalyptic number.

540310100 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 540310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646833600).

540310100 is an abundant number, since it is smaller than the sum of its proper divisors (753357100).

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

540310100 is a wasteful number, since it uses less digits than its factorization.

540310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5633 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 540310100 is about 23244.5714092560. The cubic root of 540310100 is about 814.4811330949.

Adding to 540310100 its reverse (1013045), we get a palindrome (541323145).

The spelling of 540310100 in words is "five hundred forty million, three hundred ten thousand, one hundred".