10059 has 8 divisors (see below), whose sum is σ = 15360. Its totient is φ = 5736.

The previous prime is 10039. The next prime is 10061. The reversal of 10059 is 95001.

10059 = 20² + 21² + ... + 33².

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

It is not a de Polignac number, because 10059 - 2⁷ = 9931 is a prime.

10059 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009) 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, 219 + ... + 260.

It is an arithmetic number, because the mean of its divisors is an integer number (1920).

2¹⁰⁰⁵⁹ is an apocalyptic number.

10059 is a deficient number, since it is larger than the sum of its proper divisors (5301).

10059 is an equidigital number, since it uses as much as digits as its factorization.

10059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 10059 is about 100.2945661539. The cubic root of 10059 is about 21.5866343925.

It can be divided in two parts, 1005 and 9, that multiplied together give a triangular number (9045 = T₁₃₄).

The spelling of 10059 in words is "ten thousand, fifty-nine".