100813529 has 2 divisors, whose sum is σ = 100813530. Its totient is φ = 100813528.

The previous prime is 100813523. The next prime is 100813589. The reversal of 100813529 is 925318001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96569929 + 4243600 = 9827^2 + 2060^2 .

It is a cyclic number.

It is not a de Polignac number, because 100813529 - 2⁴ = 100813513 is a prime.

It is not a weakly prime, because it can be changed into another prime (100813523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50406764 + 50406765.

It is an arithmetic number, because the mean of its divisors is an integer number (50406765).

Almost surely, 2^100813529 is an apocalyptic number.

It is an amenable number.

100813529 is a deficient number, since it is larger than the sum of its proper divisors (1).

100813529 is an equidigital number, since it uses as much as digits as its factorization.

100813529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 100813529 is about 10040.5940561303. The cubic root of 100813529 is about 465.4141744787.

The spelling of 100813529 in words is "one hundred million, eight hundred thirteen thousand, five hundred twenty-nine".