102512 has 20 divisors (see below), whose sum is σ = 204600. Its totient is φ = 49728.

The previous prime is 102503. The next prime is 102523. The reversal of 102512 is 215201.

It is a junction number, because it is equal to n+sod(n) for n = 102493 and 102502.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102512.

It is an unprimeable number.

102512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 614 + ... + 762.

It is an arithmetic number, because the mean of its divisors is an integer number (10230).

2¹⁰²⁵¹² is an apocalyptic number.

It is an amenable number.

102512 is a deficient number, since it is larger than the sum of its proper divisors (102088).

102512 is a wasteful number, since it uses less digits than its factorization.

102512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

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

The square root of 102512 is about 320.1749521746. The cubic root of 102512 is about 46.8013343667.

Adding to 102512 its reverse (215201), we get a palindrome (317713).

It can be divided in two parts, 10251 and 2, that multiplied together give a palindrome (20502).

The spelling of 102512 in words is "one hundred two thousand, five hundred twelve".