103836525257089 has 2 divisors, whose sum is σ = 103836525257090. Its totient is φ = 103836525257088.

The previous prime is 103836525257081. The next prime is 103836525257093. The reversal of 103836525257089 is 980752525638301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86785340698225 + 17051184558864 = 9315865^2 + 4129308^2 .

It is a cyclic number.

It is not a de Polignac number, because 103836525257089 - 2³ = 103836525257081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103836525257089.

It is not a weakly prime, because it can be changed into another prime (103836525257081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51918262628544 + 51918262628545.

It is an arithmetic number, because the mean of its divisors is an integer number (51918262628545).

Almost surely, 2^{103836525257089} is an apocalyptic number.

It is an amenable number.

103836525257089 is a deficient number, since it is larger than the sum of its proper divisors (1).

103836525257089 is an equidigital number, since it uses as much as digits as its factorization.

103836525257089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108864000, while the sum is 64.

The spelling of 103836525257089 in words is "one hundred three trillion, eight hundred thirty-six billion, five hundred twenty-five million, two hundred fifty-seven thousand, eighty-nine".