59105 has 4 divisors (see below), whose sum is σ = 70932. Its totient is φ = 47280.

The previous prime is 59093. The next prime is 59107. The reversal of 59105 is 50195.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 50195 = 5 ⋅10039.

It can be written as a sum of positive squares in 2 ways, for example, as 14161 + 44944 = 119^2 + 212^2 .

It is not a de Polignac number, because 59105 - 2¹² = 55009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 6 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59105.

It is not an unprimeable number, because it can be changed into a prime (59107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5906 + ... + 5915.

It is an arithmetic number, because the mean of its divisors is an integer number (17733).

2⁵⁹¹⁰⁵ is an apocalyptic number.

It is an amenable number.

59105 is a deficient number, since it is larger than the sum of its proper divisors (11827).

59105 is a wasteful number, since it uses less digits than its factorization.

59105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11826.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 59105 is about 243.1151990312. The cubic root of 59105 is about 38.9530445189.

The spelling of 59105 in words is "fifty-nine thousand, one hundred five".