101305 has 4 divisors (see below), whose sum is σ = 121572. Its totient is φ = 81040.

The previous prime is 101293. The next prime is 101323. The reversal of 101305 is 503101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 503101 = 19 ⋅26479.

It can be written as a sum of positive squares in 2 ways, for example, as 13689 + 87616 = 117^2 + 296^2 .

It is not a de Polignac number, because 101305 - 2⁵ = 101273 is a prime.

It is a Duffinian number.

101305 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 101291 and 101300.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10126 + ... + 10135.

It is an arithmetic number, because the mean of its divisors is an integer number (30393).

2¹⁰¹³⁰⁵ is an apocalyptic number.

It is an amenable number.

101305 is a deficient number, since it is larger than the sum of its proper divisors (20267).

101305 is an equidigital number, since it uses as much as digits as its factorization.

101305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20266.

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

The square root of 101305 is about 318.2844639627. The cubic root of 101305 is about 46.6169254586.

Adding to 101305 its reverse (503101), we get a palindrome (604406).

It can be divided in two parts, 101 and 305, that added together give a triangular number (406 = T₂₈).

The spelling of 101305 in words is "one hundred one thousand, three hundred five".