102077 has 2 divisors, whose sum is σ = 102078. Its totient is φ = 102076.

The previous prime is 102071. The next prime is 102079. The reversal of 102077 is 770201.

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., 98596 + 3481 = 314^2 + 59^2 .

It is a cyclic number.

It is not a de Polignac number, because 102077 - 2⁴ = 102061 is a prime.

Together with 102079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51038 + 51039.

It is an arithmetic number, because the mean of its divisors is an integer number (51039).

2¹⁰²⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

102077 is a deficient number, since it is larger than the sum of its proper divisors (1).

102077 is an equidigital number, since it uses as much as digits as its factorization.

102077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 102077 is about 319.4949138875. The cubic root of 102077 is about 46.7350414934.

Adding to 102077 its reverse (770201), we get a palindrome (872278).

The spelling of 102077 in words is "one hundred two thousand, seventy-seven", and thus it is an iban number.