102785585761 has 2 divisors, whose sum is σ = 102785585762. Its totient is φ = 102785585760.

The previous prime is 102785585743. The next prime is 102785585809. The reversal of 102785585761 is 167585587201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55856595600 + 46928990161 = 236340^2 + 216631^2 .

It is a cyclic number.

It is not a de Polignac number, because 102785585761 - 2³¹ = 100638102113 is a prime.

It is not a weakly prime, because it can be changed into another prime (102785585741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51392792880 + 51392792881.

It is an arithmetic number, because the mean of its divisors is an integer number (51392792881).

Almost surely, 2^102785585761 is an apocalyptic number.

It is an amenable number.

102785585761 is a deficient number, since it is larger than the sum of its proper divisors (1).

102785585761 is an equidigital number, since it uses as much as digits as its factorization.

102785585761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704000, while the sum is 55.

The spelling of 102785585761 in words is "one hundred two billion, seven hundred eighty-five million, five hundred eighty-five thousand, seven hundred sixty-one".