105301 has 8 divisors (see below), whose sum is σ = 123200. Its totient is φ = 89964.

The previous prime is 105277. The next prime is 105319. The reversal of 105301 is 103501.

It is not a de Polignac number, because 105301 - 2⁵ = 105269 is a prime.

It is a super-2 number, since 2×105301² = 22176601202, which contains 22 as substring.

It is the 325-th Hogben number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105331) by changing a digit.

It is a nontrivial repunit in base 324.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190 + ... + 496.

It is an arithmetic number, because the mean of its divisors is an integer number (15400).

2¹⁰⁵³⁰¹ is an apocalyptic number.

It is an amenable number.

105301 is a deficient number, since it is larger than the sum of its proper divisors (17899).

105301 is an frugal number, since it uses more digits than its factorization.

105301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 105301 is about 324.5011556220. The cubic root of 105301 is about 47.2219769819.

Adding to 105301 its reverse (103501), we get a palindrome (208802).

It can be divided in two parts, 105 and 301, that added together give a triangular number (406 = T₂₈).

The spelling of 105301 in words is "one hundred five thousand, three hundred one".