52105 has 8 divisors (see below), whose sum is σ = 66312. Its totient is φ = 39168.

The previous prime is 52103. The next prime is 52121. The reversal of 52105 is 50125.

52105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 51529 = 24^2 + 227^2 .

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

It is not a de Polignac number, because 52105 - 2¹ = 52103 is a prime.

It is an Ulam number.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52103) 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, 222 + ... + 391.

It is an arithmetic number, because the mean of its divisors is an integer number (8289).

2⁵²¹⁰⁵ is an apocalyptic number.

It is an amenable number.

52105 is a deficient number, since it is larger than the sum of its proper divisors (14207).

52105 is a wasteful number, since it uses less digits than its factorization.

52105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 52105 is about 228.2651966464. The cubic root of 52105 is about 37.3502173489.

It can be divided in two parts, 52 and 105, that multiplied together give a triangular number (5460 = T₁₀₄).

The spelling of 52105 in words is "fifty-two thousand, one hundred five".