10548 has 18 divisors (see below), whose sum is σ = 26754. Its totient is φ = 3504.

The previous prime is 10531. The next prime is 10559. The reversal of 10548 is 84501.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 144 = 102^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×10548² = 222520608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10548.

It is a congruent number.

It is an unprimeable number.

10548 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111 + ... + 182.

2¹⁰⁵⁴⁸ is an apocalyptic number.

10548 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10548 is an abundant number, since it is smaller than the sum of its proper divisors (16206).

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

10548 is a wasteful number, since it uses less digits than its factorization.

10548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10548 is about 102.7034566117. The cubic root of 10548 is about 21.9309127469.

It can be divided in two parts, 105 and 48, that added together give a triangular number (153 = T₁₇).

The spelling of 10548 in words is "ten thousand, five hundred forty-eight".