102724993841 has 2 divisors, whose sum is σ = 102724993842. Its totient is φ = 102724993840.

The previous prime is 102724993769. The next prime is 102724993859. The reversal of 102724993841 is 148399427201.

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., 58455150625 + 44269843216 = 241775^2 + 210404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102724993841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102724993841.

It is not a weakly prime, because it can be changed into another prime (102724992841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51362496920 + 51362496921.

It is an arithmetic number, because the mean of its divisors is an integer number (51362496921).

Almost surely, 2^102724993841 is an apocalyptic number.

It is an amenable number.

102724993841 is a deficient number, since it is larger than the sum of its proper divisors (1).

102724993841 is an equidigital number, since it uses as much as digits as its factorization.

102724993841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 102724993841 in words is "one hundred two billion, seven hundred twenty-four million, nine hundred ninety-three thousand, eight hundred forty-one".