100745510508529 has 2 divisors, whose sum is σ = 100745510508530. Its totient is φ = 100745510508528.

The previous prime is 100745510508443. The next prime is 100745510508553. The reversal of 100745510508529 is 925805015547001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100523082254400 + 222428254129 = 10026120^2 + 471623^2 .

It is a cyclic number.

It is not a de Polignac number, because 100745510508529 - 2⁹ = 100745510508017 is a prime.

It is not a weakly prime, because it can be changed into another prime (100745510508329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50372755254264 + 50372755254265.

It is an arithmetic number, because the mean of its divisors is an integer number (50372755254265).

Almost surely, 2^{100745510508529} is an apocalyptic number.

It is an amenable number.

100745510508529 is a deficient number, since it is larger than the sum of its proper divisors (1).

100745510508529 is an equidigital number, since it uses as much as digits as its factorization.

100745510508529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520000, while the sum is 52.

The spelling of 100745510508529 in words is "one hundred trillion, seven hundred forty-five billion, five hundred ten million, five hundred eight thousand, five hundred twenty-nine".