54105 has 8 divisors (see below), whose sum is σ = 86592. Its totient is φ = 28848.

The previous prime is 54101. The next prime is 54121. The reversal of 54105 is 50145.

54105 = 69² + 70² + ... + 78².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 54105 - 2² = 54101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 3607 = 54105 / (5 + 4 + 1 + 0 + 5).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1789 + ... + 1818.

It is an arithmetic number, because the mean of its divisors is an integer number (10824).

2⁵⁴¹⁰⁵ is an apocalyptic number.

It is an amenable number.

54105 is a deficient number, since it is larger than the sum of its proper divisors (32487).

54105 is a wasteful number, since it uses less digits than its factorization.

54105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 54105 is about 232.6048150834. The cubic root of 54105 is about 37.8221141002.

The spelling of 54105 in words is "fifty-four thousand, one hundred five".