10052 has 12 divisors (see below), whose sum is σ = 20160. Its totient is φ = 4296.

The previous prime is 10039. The next prime is 10061. The reversal of 10052 is 25001.

10052 is an admirable number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10052.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2¹⁰⁰⁵² is an apocalyptic number.

It is an amenable number.

10052 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10080).

10052 is a wasteful number, since it uses less digits than its factorization.

10052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 10052 is about 100.2596628760. The cubic root of 10052 is about 21.5816258925.

Adding to 10052 its reverse (25001), we get a palindrome (35053).

The spelling of 10052 in words is "ten thousand, fifty-two".