102716 has 6 divisors (see below), whose sum is σ = 179760. Its totient is φ = 51356.

The previous prime is 102701. The next prime is 102761. The reversal of 102716 is 617201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102694 and 102703.

It is a congruent number.

It is an unprimeable number.

102716 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 as a sum of consecutive naturals, namely, 12836 + ... + 12843.

It is an arithmetic number, because the mean of its divisors is an integer number (29960).

2¹⁰²⁷¹⁶ is an apocalyptic number.

It is an amenable number.

102716 is a deficient number, since it is larger than the sum of its proper divisors (77044).

102716 is a wasteful number, since it uses less digits than its factorization.

102716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25683 (or 25681 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 102716 is about 320.4933696662. The cubic root of 102716 is about 46.8323588517.

Adding to 102716 its reverse (617201), we get a palindrome (719917).

It can be divided in two parts, 102 and 716, that added together give a palindrome (818).

The spelling of 102716 in words is "one hundred two thousand, seven hundred sixteen".