10540 has 24 divisors (see below), whose sum is σ = 24192. Its totient is φ = 3840.

The previous prime is 10531. The next prime is 10559. The reversal of 10540 is 4501.

10540 = T₉ + T₁₀ + ... + T₃₉.

It is a super-2 number, since 2×10540² = 222183200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

10540 is an undulating number in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325 + ... + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

2¹⁰⁵⁴⁰ is an apocalyptic number.

10540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096).

10540 is an abundant number, since it is smaller than the sum of its proper divisors (13652).

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

10540 is a wasteful number, since it uses less digits than its factorization.

10540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10540 is about 102.6645021417. The cubic root of 10540 is about 21.9253669349.

The spelling of 10540 in words is "ten thousand, five hundred forty".