54319104 has 144 divisors (see below), whose sum is σ = 179721360. Its totient is φ = 15482880.

The previous prime is 54319093. The next prime is 54319129. The reversal of 54319104 is 40191345.

54319104 is a `hidden beast` number, since 543 + 19 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 128814 + ... + 129234.

It is an arithmetic number, because the mean of its divisors is an integer number (1248065).

Almost surely, 2^54319104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89860680).

54319104 is an abundant number, since it is smaller than the sum of its proper divisors (125402256).

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

54319104 is a wasteful number, since it uses less digits than its factorization.

54319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 54319104 is about 7370.1495235850. The cubic root of 54319104 is about 378.7193825526.

It can be divided in two parts, 5431 and 9104, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 54319104 in words is "fifty-four million, three hundred nineteen thousand, one hundred four".