54105793 has 16 divisors (see below), whose sum is σ = 64368000. Its totient is φ = 44497152.

The previous prime is 54105769. The next prime is 54105809. The reversal of 54105793 is 39750145.

54105793 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54105793 - 2⁵ = 54105761 is a prime.

It is a super-3 number, since 3×54105793³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54105743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35593 + ... + 37081.

It is an arithmetic number, because the mean of its divisors is an integer number (4023000).

Almost surely, 2^54105793 is an apocalyptic number.

It is an amenable number.

54105793 is a deficient number, since it is larger than the sum of its proper divisors (10262207).

54105793 is a wasteful number, since it uses less digits than its factorization.

54105793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 54105793 is about 7355.6640080961. The cubic root of 54105793 is about 378.2229888158. Note that the first 3 decimals are identical.

The spelling of 54105793 in words is "fifty-four million, one hundred five thousand, seven hundred ninety-three".