10845 has 12 divisors (see below), whose sum is σ = 18876. Its totient is φ = 5760.

The previous prime is 10837. The next prime is 10847. The reversal of 10845 is 54801.

It can be written as a sum of positive squares in 2 ways, for example, as 6084 + 4761 = 78^2 + 69^2 .

It is not a de Polignac number, because 10845 - 2³ = 10837 is a prime.

It is a super-2 number, since 2×10845² = 235228050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (1573).

2¹⁰⁸⁴⁵ is an apocalyptic number.

10845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10845 is a deficient number, since it is larger than the sum of its proper divisors (8031).

10845 is a wasteful number, since it uses less digits than its factorization.

10845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 249 counting only the distinct ones).

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

The square root of 10845 is about 104.1393297463. The cubic root of 10845 is about 22.1348467135.

Subtracting 10845 from its reverse (54801), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 1084 and 5, that added together give a square (1089 = 33²).

The spelling of 10845 in words is "ten thousand, eight hundred forty-five".