242105 has 8 divisors (see below), whose sum is σ = 297864. Its totient is φ = 188800.

The previous prime is 242101. The next prime is 242119. The reversal of 242105 is 501242.

It can be written as a sum of positive squares in 4 ways, for example, as 19321 + 222784 = 139^2 + 472^2 .

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

It is not a de Polignac number, because 242105 - 2² = 242101 is a prime.

It is a super-2 number, since 2×242105² = 117229662050, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 242105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (37233).

2²⁴²¹⁰⁵ is an apocalyptic number.

It is an amenable number.

242105 is a deficient number, since it is larger than the sum of its proper divisors (55759).

242105 is a wasteful number, since it uses less digits than its factorization.

242105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227.

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

The square root of 242105 is about 492.0416649025. The cubic root of 242105 is about 62.3258083004.

Adding to 242105 its reverse (501242), we get a palindrome (743347).

The spelling of 242105 in words is "two hundred forty-two thousand, one hundred five".