105393202121153 has 2 divisors, whose sum is σ = 105393202121154. Its totient is φ = 105393202121152.

The previous prime is 105393202121083. The next prime is 105393202121171. The reversal of 105393202121153 is 351121202393501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104051179500304 + 1342022620849 = 10200548^2 + 1158457^2 .

It is an emirp because it is prime and its reverse (351121202393501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105393202121153 - 2¹⁴ = 105393202104769 is a prime.

It is a super-2 number, since 2×105393202121153² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105393202121173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52696601060576 + 52696601060577.

It is an arithmetic number, because the mean of its divisors is an integer number (52696601060577).

Almost surely, 2^{105393202121153} is an apocalyptic number.

It is an amenable number.

105393202121153 is a deficient number, since it is larger than the sum of its proper divisors (1).

105393202121153 is an equidigital number, since it uses as much as digits as its factorization.

105393202121153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48600, while the sum is 38.

The spelling of 105393202121153 in words is "one hundred five trillion, three hundred ninety-three billion, two hundred two million, one hundred twenty-one thousand, one hundred fifty-three".