10164 has 36 divisors (see below), whose sum is σ = 29792. Its totient is φ = 2640.

The previous prime is 10163. The next prime is 10169. The reversal of 10164 is 46101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10163) 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, 919 + ... + 929.

2^{10164} is an apocalyptic number.

10164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14896).

10164 is an abundant number, since it is smaller than the sum of its proper divisors (19628).

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

10164 is a wasteful number, since it uses less digits than its factorization.

10164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10164 is about 100.8166652890. The cubic root of 10164 is about 21.6614846253.

Adding to 10164 its reverse (46101), we get a palindrome (56265).

Subtracting 10164 from its reverse (46101), we obtain a cube (35937 = 33^{3}).

The spelling of 10164 in words is "ten thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 10164

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.107 sec. • engine limits •