10242 has 12 divisors (see below), whose sum is σ = 22230. Its totient is φ = 3408.

The previous prime is 10223. The next prime is 10243. The reversal of 10242 is 24201.

It can be written as a sum of positive squares in only one way, i.e., 9801 + 441 = 99^2 + 21^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (10243) by changing a digit.

10242 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267 + ... + 302.

2¹⁰²⁴² is an apocalyptic number.

10242 is an abundant number, since it is smaller than the sum of its proper divisors (11988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10242 is a wasteful number, since it uses less digits than its factorization.

10242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10242 is about 101.2027667606. The cubic root of 10242 is about 21.7167545999.

Adding to 10242 its reverse (24201), we get a palindrome (34443).

It can be divided in two parts, 1024 and 2, that multiplied together give a 11-th power (2048 = 2¹¹).

The spelling of 10242 in words is "ten thousand, two hundred forty-two", and thus it is an iban number.