10170 has 24 divisors (see below), whose sum is σ = 26676. Its totient is φ = 2688.

The previous prime is 10169. The next prime is 10177. The reversal of 10170 is 7101.

It can be written as a sum of positive squares in 2 ways, for example, as 8649 + 1521 = 93^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

10170 is an undulating number in base 15.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10177) 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, 34 + ... + 146.

2¹⁰¹⁷⁰ is an apocalyptic number.

10170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338).

10170 is an abundant number, since it is smaller than the sum of its proper divisors (16506).

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

10170 is a wasteful number, since it uses less digits than its factorization.

10170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 10170 is about 100.8464178838. The cubic root of 10170 is about 21.6657461805.

Adding to 10170 its reverse (7101), we get a palindrome (17271).

It can be divided in two parts, 101 and 70, that added together give a palindrome (171).

The spelling of 10170 in words is "ten thousand, one hundred seventy", and thus it is an iban number.