102077713 has 2 divisors, whose sum is σ = 102077714. Its totient is φ = 102077712.

The previous prime is 102077687. The next prime is 102077777. The reversal of 102077713 is 317770201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100140049 + 1937664 = 10007^2 + 1392^2 .

It is a cyclic number.

It is not a de Polignac number, because 102077713 - 2⁵ = 102077681 is a prime.

It is not a weakly prime, because it can be changed into another prime (102077813) 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, 51038856 + 51038857.

It is an arithmetic number, because the mean of its divisors is an integer number (51038857).

Almost surely, 2^102077713 is an apocalyptic number.

It is an amenable number.

102077713 is a deficient number, since it is larger than the sum of its proper divisors (1).

102077713 is an equidigital number, since it uses as much as digits as its factorization.

102077713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2058, while the sum is 28.

The square root of 102077713 is about 10103.3515726218. The cubic root of 102077713 is about 467.3515030666.

The spelling of 102077713 in words is "one hundred two million, seventy-seven thousand, seven hundred thirteen".