102152 has 12 divisors (see below), whose sum is σ = 193245. Its totient is φ = 50624.

The previous prime is 102149. The next prime is 102161. The reversal of 102152 is 251201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

102152 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 64516 + 37636 = 254^2 + 194^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=226.

It is a super-2 number, since 2×102152² = 20870062208, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 848 + ... + 960.

2¹⁰²¹⁵² is an apocalyptic number.

It is an amenable number.

102152 is a deficient number, since it is larger than the sum of its proper divisors (91093).

102152 is an equidigital number, since it uses as much as digits as its factorization.

102152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 102152 is about 319.6122650963. The cubic root of 102152 is about 46.7464847176.

Adding to 102152 its reverse (251201), we get a palindrome (353353).

The spelling of 102152 in words is "one hundred two thousand, one hundred fifty-two".