103059 has 16 divisors (see below), whose sum is σ = 167040. Its totient is φ = 62280.

The previous prime is 103049. The next prime is 103067. The reversal of 103059 is 950301.

103059 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 103059 - 2⁴ = 103043 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103059.

It is not an unprimeable number, because it can be changed into a prime (103049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (10440).

2¹⁰³⁰⁵⁹ is an apocalyptic number.

103059 is a deficient number, since it is larger than the sum of its proper divisors (63981).

103059 is a wasteful number, since it uses less digits than its factorization.

103059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 103059 is about 321.0280361588. The cubic root of 103059 is about 46.8844301028.

Subtracting from 103059 its sum of digits (18), we obtain a square (103041 = 321²).

It can be divided in two parts, 1030 and 59, that added together give a square (1089 = 33²).

The spelling of 103059 in words is "one hundred three thousand, fifty-nine".