54106432 has 56 divisors (see below), whose sum is σ = 112136936. Its totient is φ = 25878528.

The previous prime is 54106421. The next prime is 54106441. The reversal of 54106432 is 23460145.

It can be written as a sum of positive squares in 4 ways, for example, as 4769856 + 49336576 = 2184^2 + 7024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54106397 and 54106406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172708 + ... + 173020.

Almost surely, 2^54106432 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 54106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56068468).

54106432 is an abundant number, since it is smaller than the sum of its proper divisors (58030504).

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

54106432 is a wasteful number, since it uses less digits than its factorization.

54106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 54106432 is about 7355.7074438833. The cubic root of 54106432 is about 378.2244777725.

Adding to 54106432 its reverse (23460145), we get a palindrome (77566577).

The spelling of 54106432 in words is "fifty-four million, one hundred six thousand, four hundred thirty-two".