102952 has 16 divisors (see below), whose sum is σ = 204660. Its totient is φ = 48384.

The previous prime is 102931. The next prime is 102953. The reversal of 102952 is 259201.

102952 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 98596 + 4356 = 314^2 + 66^2 .

It is a super-2 number, since 2×102952² = 21198228608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 243 + ... + 514.

2¹⁰²⁹⁵² is an apocalyptic number.

It is an amenable number.

102952 is a deficient number, since it is larger than the sum of its proper divisors (101708).

102952 is a wasteful number, since it uses less digits than its factorization.

102952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 102952 is about 320.8613407689. The cubic root of 102952 is about 46.8681987169.

It can be divided in two parts, 1029 and 52, that added together give a triangular number (1081 = T₄₆).

The spelling of 102952 in words is "one hundred two thousand, nine hundred fifty-two".