102116 has 18 divisors (see below), whose sum is σ = 208278. Its totient is φ = 43680.

The previous prime is 102107. The next prime is 102121. The reversal of 102116 is 611201.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 23716 = 280^2 + 154^2 .

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 102097 and 102106.

It is an unprimeable number.

102116 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 5 ways as a sum of consecutive naturals, for example, 65 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (11571).

2^{102116} is an apocalyptic number.

It is an amenable number.

102116 is an abundant number, since it is smaller than the sum of its proper divisors (106162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102116 is a wasteful number, since it uses less digits than its factorization.

102116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102116 is about 319.5559418944. Note that the first 3 decimals coincide. The cubic root of 102116 is about 46.7409926692.

Adding to 102116 its reverse (611201), we get a palindrome (713317).

The spelling of 102116 in words is "one hundred two thousand, one hundred sixteen".

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