100105353193 has 2 divisors, whose sum is σ = 100105353194. Its totient is φ = 100105353192.

The previous prime is 100105353191. The next prime is 100105353239. The reversal of 100105353193 is 391353501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96937577104 + 3167776089 = 311348^2 + 56283^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105353193 - 2¹ = 100105353191 is a prime.

Together with 100105353191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100105353191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052676596 + 50052676597.

It is an arithmetic number, because the mean of its divisors is an integer number (50052676597).

Almost surely, 2^100105353193 is an apocalyptic number.

It is an amenable number.

100105353193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105353193 is an equidigital number, since it uses as much as digits as its factorization.

100105353193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6075, while the sum is 31.

Adding to 100105353193 its reverse (391353501001), we get a palindrome (491458854194).

The spelling of 100105353193 in words is "one hundred billion, one hundred five million, three hundred fifty-three thousand, one hundred ninety-three".