10945 has 8 divisors (see below), whose sum is σ = 14400. Its totient is φ = 7920.

The previous prime is 10939. The next prime is 10949. The reversal of 10945 is 54901.

10945 = T₃₉ + T₄₀ + ... + T₄₉.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10945 - 2³ = 10937 is a prime.

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

10945 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 154.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

2¹⁰⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

10945 is a deficient number, since it is larger than the sum of its proper divisors (3455).

10945 is a wasteful number, since it uses less digits than its factorization.

10945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 10945 is about 104.6183540303. The cubic root of 10945 is about 22.2026726214.

Subtracting 10945 from its reverse (54901), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 10945 in words is "ten thousand, nine hundred forty-five".