54042100 has 108 divisors (see below), whose sum is σ = 140264460. Its totient is φ = 18009600.

The previous prime is 54042097. The next prime is 54042181. The reversal of 54042100 is 124045.

It can be written as a sum of positive squares in 6 ways, for example, as 21734244 + 32307856 = 4662^2 + 5684^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200766 + ... + 201034.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 2^54042100 is an apocalyptic number.

54042100 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 54042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70132230).

54042100 is an abundant number, since it is smaller than the sum of its proper divisors (86222360).

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

54042100 is a wasteful number, since it uses less digits than its factorization.

54042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 54042100 is about 7351.3332124180. Note that the first 3 decimals coincide. The cubic root of 54042100 is about 378.0745166307.

Adding to 54042100 its reverse (124045), we get a palindrome (54166145).

The spelling of 54042100 in words is "fifty-four million, forty-two thousand, one hundred".