105249 has 4 divisors (see below), whose sum is σ = 140336. Its totient is φ = 70164.

The previous prime is 105239. The next prime is 105251. The reversal of 105249 is 942501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 105249 - 2¹⁵ = 72481 is a prime.

It is a super-2 number, since 2×105249² = 22154704002, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17539 + ... + 17544.

It is an arithmetic number, because the mean of its divisors is an integer number (35084).

2¹⁰⁵²⁴⁹ is an apocalyptic number.

It is an amenable number.

105249 is a deficient number, since it is larger than the sum of its proper divisors (35087).

105249 is an equidigital number, since it uses as much as digits as its factorization.

105249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35086.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105249 is about 324.4210227467. The cubic root of 105249 is about 47.2142026110.

The spelling of 105249 in words is "one hundred five thousand, two hundred forty-nine".