102964358593 has 2 divisors, whose sum is σ = 102964358594. Its totient is φ = 102964358592.

The previous prime is 102964358531. The next prime is 102964358647. The reversal of 102964358593 is 395853469201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76536329104 + 26428029489 = 276652^2 + 162567^2 .

It is an emirp because it is prime and its reverse (395853469201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102964358593 - 2¹⁷ = 102964227521 is a prime.

It is not a weakly prime, because it can be changed into another prime (102964368593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51482179296 + 51482179297.

It is an arithmetic number, because the mean of its divisors is an integer number (51482179297).

Almost surely, 2^102964358593 is an apocalyptic number.

It is an amenable number.

102964358593 is a deficient number, since it is larger than the sum of its proper divisors (1).

102964358593 is an equidigital number, since it uses as much as digits as its factorization.

102964358593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 102964358593 in words is "one hundred two billion, nine hundred sixty-four million, three hundred fifty-eight thousand, five hundred ninety-three".