540211100 has 144 divisors (see below), whose sum is σ = 1415805216. Its totient is φ = 176256000.

The previous prime is 540211073. The next prime is 540211117. The reversal of 540211100 is 1112045.

540211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528590 + ... + 529610.

Almost surely, 2^540211100 is an apocalyptic number.

540211100 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 540211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707902608).

540211100 is an abundant number, since it is smaller than the sum of its proper divisors (875594116).

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

540211100 is a wasteful number, since it uses less digits than its factorization.

540211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 540211100 is about 23242.4417822225. The cubic root of 540211100 is about 814.4313847760.

Adding to 540211100 its reverse (1112045), we get a palindrome (541323145).

The spelling of 540211100 in words is "five hundred forty million, two hundred eleven thousand, one hundred".