54581100 has 216 divisors, whose sum is σ = 189987840. Its totient is φ = 12055680.

The previous prime is 54581089. The next prime is 54581113. The reversal of 54581100 is 118545.

54581100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 690861 + ... + 690939.

Almost surely, 2^54581100 is an apocalyptic number.

54581100 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 54581100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

54581100 is an abundant number, since it is smaller than the sum of its proper divisors (135406740).

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

54581100 is a wasteful number, since it uses less digits than its factorization.

54581100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 54581100 is about 7387.9022733114. The cubic root of 54581100 is about 379.3272955187.

Adding to 54581100 its reverse (118545), we get a palindrome (54699645).

The spelling of 54581100 in words is "fifty-four million, five hundred eighty-one thousand, one hundred".