10152 has 32 divisors (see below), whose sum is σ = 28800. Its totient is φ = 3312.

The previous prime is 10151. The next prime is 10159. The reversal of 10152 is 25101.

It is a happy number.

10152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10152.

It is not an unprimeable number, because it can be changed into a prime (10151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

2¹⁰¹⁵² is an apocalyptic number.

10152 is a gapful number since it is divisible by the number (12) 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 10152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400).

10152 is an abundant number, since it is smaller than the sum of its proper divisors (18648).

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

10152 is a wasteful number, since it uses less digits than its factorization.

10152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10152 is about 100.7571337425. The cubic root of 10152 is about 21.6529564808.

Adding to 10152 its reverse (25101), we get a palindrome (35253).

It can be divided in two parts, 101 and 52, that added together give a triangular number (153 = T₁₇).

The spelling of 10152 in words is "ten thousand, one hundred fifty-two".