10545 has 16 divisors (see below), whose sum is σ = 18240. Its totient is φ = 5184.

The previous prime is 10531. The next prime is 10559. The reversal of 10545 is 54501.

10545 is nontrivially palindromic in base 14.

10545 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10531) and next prime (10559).

It is not a de Polignac number, because 10545 - 2⁴ = 10529 is a prime.

It is a super-2 number, since 2×10545² = 222394050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

10545 is strictly pandigital in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (1140).

2¹⁰⁵⁴⁵ is an apocalyptic number.

10545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10545 is a deficient number, since it is larger than the sum of its proper divisors (7695).

10545 is a wasteful number, since it uses less digits than its factorization.

10545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 10545 is about 102.6888504172. The cubic root of 10545 is about 21.9288333961.

10545 divided by its sum of digits (15) gives a triangular number (703 = T₃₇).

Subtracting 10545 from its reverse (54501), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 10 and 545, that added together give a palindrome (555).

The spelling of 10545 in words is "ten thousand, five hundred forty-five".