102771 has 12 divisors (see below), whose sum is σ = 156520. Its totient is φ = 64800.

The previous prime is 102769. The next prime is 102793. The reversal of 102771 is 177201.

It is not a de Polignac number, because 102771 - 2¹ = 102769 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102771.

It is not an unprimeable number, because it can be changed into a prime (102701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130 + ... + 471.

2¹⁰²⁷⁷¹ is an apocalyptic number.

102771 is a deficient number, since it is larger than the sum of its proper divisors (53749).

102771 is a wasteful number, since it uses less digits than its factorization.

102771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 102771 is about 320.5791633903. The cubic root of 102771 is about 46.8407162648.

Adding to 102771 its reverse (177201), we get a palindrome (279972).

The spelling of 102771 in words is "one hundred two thousand, seven hundred seventy-one", and thus it is an iban number.