102916 has 12 divisors (see below), whose sum is σ = 196560. Its totient is φ = 46760.

The previous prime is 102913. The next prime is 102929. The reversal of 102916 is 619201.

It is a junction number, because it is equal to n+sod(n) for n = 102893 and 102902.

It is not an unprimeable number, because it can be changed into a prime (102911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1126 + ... + 1213.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2¹⁰²⁹¹⁶ is an apocalyptic number.

It is an amenable number.

102916 is a deficient number, since it is larger than the sum of its proper divisors (93644).

102916 is a wasteful number, since it uses less digits than its factorization.

102916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 102916 is about 320.8052368650. The cubic root of 102916 is about 46.8627351616.

It can be divided in two parts, 10 and 2916, that added together give a triangular number (2926 = T₇₆).

The spelling of 102916 in words is "one hundred two thousand, nine hundred sixteen".