54105800 has 72 divisors (see below), whose sum is σ = 146360610. Its totient is φ = 18547200.

The previous prime is 54105769. The next prime is 54105809. The reversal of 54105800 is 850145.

54105800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 34409956 + 19695844 = 5866^2 + 4438^2 .

It is not an unprimeable number, because it can be changed into a prime (54105809) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 7040 + ... + 12560.

Almost surely, 2^54105800 is an apocalyptic number.

54105800 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 54105800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73180305).

54105800 is an abundant number, since it is smaller than the sum of its proper divisors (92254810).

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

54105800 is a wasteful number, since it uses less digits than its factorization.

54105800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 54105800 is about 7355.6644839199. The cubic root of 54105800 is about 378.2230051268.

Adding to 54105800 its reverse (850145), we get a palindrome (54955945).

The spelling of 54105800 in words is "fifty-four million, one hundred five thousand, eight hundred".