54105600 has 120 divisors (see below), whose sum is σ = 178861320. Its totient is φ = 14417920.

The previous prime is 54105593. The next prime is 54105613. The reversal of 54105600 is 650145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37696 + ... + 39104.

It is an arithmetic number, because the mean of its divisors is an integer number (1490511).

Almost surely, 2^54105600 is an apocalyptic number.

54105600 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 54105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89430660).

54105600 is an abundant number, since it is smaller than the sum of its proper divisors (124755720).

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

54105600 is a wasteful number, since it uses less digits than its factorization.

54105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 54105600 is about 7355.6508889425. The cubic root of 54105600 is about 378.2225390974. Note that the first 3 decimals are identical.

Adding to 54105600 its reverse (650145), we get a palindrome (54755745).

The spelling of 54105600 in words is "fifty-four million, one hundred five thousand, six hundred".