100349593 has 2 divisors, whose sum is σ = 100349594. Its totient is φ = 100349592.

The previous prime is 100349567. The next prime is 100349597. The reversal of 100349593 is 395943001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84052224 + 16297369 = 9168^2 + 4037^2 .

It is an emirp because it is prime and its reverse (395943001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100349593 - 2²⁵ = 66795161 is a prime.

It is not a weakly prime, because it can be changed into another prime (100349597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50174796 + 50174797.

It is an arithmetic number, because the mean of its divisors is an integer number (50174797).

Almost surely, 2^100349593 is an apocalyptic number.

It is an amenable number.

100349593 is a deficient number, since it is larger than the sum of its proper divisors (1).

100349593 is an equidigital number, since it uses as much as digits as its factorization.

100349593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 100349593 is about 10017.4643997371. The cubic root of 100349593 is about 464.6991432676.

The spelling of 100349593 in words is "one hundred million, three hundred forty-nine thousand, five hundred ninety-three".