105273 has 16 divisors (see below), whose sum is σ = 178560. Its totient is φ = 60048.

The previous prime is 105269. The next prime is 105277. The reversal of 105273 is 372501.

It is an interprime number because it is at equal distance from previous prime (105269) and next prime (105277).

It is not a de Polignac number, because 105273 - 2² = 105269 is a prime.

It is a super-2 number, since 2×105273² = 22164809058, which contains 22 as substring.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (105277) 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, 90 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2¹⁰⁵²⁷³ is an apocalyptic number.

It is an amenable number.

105273 is a deficient number, since it is larger than the sum of its proper divisors (73287).

105273 is an equidigital number, since it uses as much as digits as its factorization.

105273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 105273 is about 324.4580096099. The cubic root of 105273 is about 47.2177911003.

Adding to 105273 its reverse (372501), we get a palindrome (477774).

It can be divided in two parts, 105 and 273, that added together give a triangular number (378 = T₂₇).

The spelling of 105273 in words is "one hundred five thousand, two hundred seventy-three".