540551100 has 72 divisors (see below), whose sum is σ = 1567868400. Its totient is φ = 143790080.

The previous prime is 540551087. The next prime is 540551113. The reversal of 540551100 is 1155045.

It is an interprime number because it is at equal distance from previous prime (540551087) and next prime (540551113).

It is a super-2 number, since 2×540551100² = 584390983422420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132694 + ... + 136706.

It is an arithmetic number, because the mean of its divisors is an integer number (21775950).

Almost surely, 2^540551100 is an apocalyptic number.

540551100 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 540551100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783934200).

540551100 is an abundant number, since it is smaller than the sum of its proper divisors (1027317300).

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

540551100 is a wasteful number, since it uses less digits than its factorization.

540551100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 540551100 is about 23249.7548374171. The cubic root of 540551100 is about 814.6022121912.

It can be divided in two parts, 54055 and 1100, that added together give a palindrome (55155).

The spelling of 540551100 in words is "five hundred forty million, five hundred fifty-one thousand, one hundred".