10542 has 16 divisors (see below), whose sum is σ = 24192. Its totient is φ = 3000.

The previous prime is 10531. The next prime is 10559. The reversal of 10542 is 24501.

10542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10542² = 222267528, which contains 22 as substring.

It is a plaindrome in base 8.

It is a congruent number.

It is an unprimeable number.

10542 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2¹⁰⁵⁴² is an apocalyptic number.

10542 is the 84-th pentagonal number.

10542 is an abundant number, since it is smaller than the sum of its proper divisors (13650).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096).

10542 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 7 representation: 10542 = (42510)₇.

10542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10542 is about 102.6742421448. The cubic root of 10542 is about 21.9267536509.

The spelling of 10542 in words is "ten thousand, five hundred forty-two".