54105120 has 72 divisors (see below), whose sum is σ = 184638636. Its totient is φ = 14427648.

The previous prime is 54105119. The next prime is 54105151. The reversal of 54105120 is 2150145.

54105120 is a `hidden beast` number, since 541 + 0 + 5 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51322896 + 2782224 = 7164^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 54105093 and 54105102.

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, 17347 + ... + 20226.

Almost surely, 2^54105120 is an apocalyptic number.

It is an amenable number.

54105120 is an abundant number, since it is smaller than the sum of its proper divisors (130533516).

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

54105120 is a wasteful number, since it uses less digits than its factorization.

54105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37594 (or 37583 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 54105120 is about 7355.6182608942. The cubic root of 54105120 is about 378.2214206219.

Adding to 54105120 its reverse (2150145), we get a palindrome (56255265).

The spelling of 54105120 in words is "fifty-four million, one hundred five thousand, one hundred twenty".