100948258393 has 2 divisors, whose sum is σ = 100948258394. Its totient is φ = 100948258392.

The previous prime is 100948258387. The next prime is 100948258459. The reversal of 100948258393 is 393852849001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90259386624 + 10688871769 = 300432^2 + 103387^2 .

It is a cyclic number.

It is not a de Polignac number, because 100948258393 - 2⁹ = 100948257881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100948258393.

It is not a weakly prime, because it can be changed into another prime (100948258793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50474129196 + 50474129197.

It is an arithmetic number, because the mean of its divisors is an integer number (50474129197).

Almost surely, 2^100948258393 is an apocalyptic number.

It is an amenable number.

100948258393 is a deficient number, since it is larger than the sum of its proper divisors (1).

100948258393 is an equidigital number, since it uses as much as digits as its factorization.

100948258393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 100948258393 in words is "one hundred billion, nine hundred forty-eight million, two hundred fifty-eight thousand, three hundred ninety-three".