105268643629 has 2 divisors, whose sum is σ = 105268643630. Its totient is φ = 105268643628.

The previous prime is 105268643561. The next prime is 105268643639. The reversal of 105268643629 is 926346862501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55939345225 + 49329298404 = 236515^2 + 222102^2 .

It is an emirp because it is prime and its reverse (926346862501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105268643629 - 2³³ = 96678709037 is a prime.

It is a super-3 number, since 3×105268643629³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105268643639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52634321814 + 52634321815.

It is an arithmetic number, because the mean of its divisors is an integer number (52634321815).

Almost surely, 2^105268643629 is an apocalyptic number.

It is an amenable number.

105268643629 is a deficient number, since it is larger than the sum of its proper divisors (1).

105268643629 is an equidigital number, since it uses as much as digits as its factorization.

105268643629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 105268643629 in words is "one hundred five billion, two hundred sixty-eight million, six hundred forty-three thousand, six hundred twenty-nine".