102761 has 2 divisors, whose sum is σ = 102762. Its totient is φ = 102760.

The previous prime is 102701. The next prime is 102763. The reversal of 102761 is 167201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 361 = 320^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 102761 - 2¹⁰ = 101737 is a prime.

Together with 102763, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102761.

It is not a weakly prime, because it can be changed into another prime (102763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51380 + 51381.

It is an arithmetic number, because the mean of its divisors is an integer number (51381).

2¹⁰²⁷⁶¹ is an apocalyptic number.

It is an amenable number.

102761 is a deficient number, since it is larger than the sum of its proper divisors (1).

102761 is an equidigital number, since it uses as much as digits as its factorization.

102761 is an evil number, because the sum of its binary digits is even.

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

The square root of 102761 is about 320.5635662392. The cubic root of 102761 is about 46.8391969570.

Adding to 102761 its reverse (167201), we get a palindrome (269962).

The spelling of 102761 in words is "one hundred two thousand, seven hundred sixty-one".