105242 has 8 divisors (see below), whose sum is σ = 159732. Its totient is φ = 52000.

The previous prime is 105239. The next prime is 105251. The reversal of 105242 is 242501.

It can be written as a sum of positive squares in 2 ways, for example, as 101761 + 3481 = 319^2 + 59^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105242² = 22151757128, which contains 22 as substring.

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, 59 + ... + 462.

2¹⁰⁵²⁴² is an apocalyptic number.

105242 is a deficient number, since it is larger than the sum of its proper divisors (54490).

105242 is a wasteful number, since it uses less digits than its factorization.

105242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624.

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 105242 is about 324.4102341172. The cubic root of 105242 is about 47.2131558655.

Adding to 105242 its reverse (242501), we get a palindrome (347743).

The spelling of 105242 in words is "one hundred five thousand, two hundred forty-two".