102616 has 16 divisors (see below), whose sum is σ = 195840. Its totient is φ = 50400.

The previous prime is 102611. The next prime is 102643. The reversal of 102616 is 616201.

It is a self number, because there is not a number n which added to its sum of digits gives 102616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102611) by changing a digit.

102616 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 745 + ... + 871.

It is an arithmetic number, because the mean of its divisors is an integer number (12240).

2¹⁰²⁶¹⁶ is an apocalyptic number.

It is an amenable number.

102616 is a deficient number, since it is larger than the sum of its proper divisors (93224).

102616 is a wasteful number, since it uses less digits than its factorization.

102616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 102616 is about 320.3373222089. The cubic root of 102616 is about 46.8171559086.

Adding to 102616 its reverse (616201), we get a palindrome (718817).

The spelling of 102616 in words is "one hundred two thousand, six hundred sixteen".