102992 has 20 divisors (see below), whose sum is σ = 205716. Its totient is φ = 49920.

The previous prime is 102983. The next prime is 103001. The reversal of 102992 is 299201.

It is an interprime number because it is at equal distance from previous prime (102983) and next prime (103001).

It can be written as a sum of positive squares in 2 ways, for example, as 15376 + 87616 = 124^2 + 296^2 .

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 102992.

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, 578 + ... + 734.

2¹⁰²⁹⁹² is an apocalyptic number.

It is an amenable number.

102992 is a deficient number, since it is larger than the sum of its proper divisors (102724).

102992 is a wasteful number, since it uses less digits than its factorization.

102992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 102992 is about 320.9236669365. The cubic root of 102992 is about 46.8742678404.

It can be divided in two parts, 10299 and 2, that added together give a palindrome (10301).

The spelling of 102992 in words is "one hundred two thousand, nine hundred ninety-two".