10605 has 16 divisors (see below), whose sum is σ = 19584. Its totient is φ = 4800.

The previous prime is 10601. The next prime is 10607. The reversal of 10605 is 50601.

It is not a de Polignac number, because 10605 - 2² = 10601 is a prime.

It is a super-2 number, since 2×10605² = 224932050, which contains 22 as substring.

It is a Curzon number.

10605 is a lucky number.

It is a plaindrome in base 8.

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 (10601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (1224).

2¹⁰⁶⁰⁵ is an apocalyptic number.

10605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10605 is a deficient number, since it is larger than the sum of its proper divisors (8979).

10605 is a wasteful number, since it uses less digits than its factorization.

10605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10605 is about 102.9805806936. The cubic root of 10605 is about 21.9703457212.

Multiplying 10605 by its sum of digits (12), we get a triangular number (127260 = T₅₀₄).

The spelling of 10605 in words is "ten thousand, six hundred five".