105268642537 has 2 divisors, whose sum is σ = 105268642538. Its totient is φ = 105268642536.

The previous prime is 105268642529. The next prime is 105268642561. The reversal of 105268642537 is 735246862501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95973561616 + 9295080921 = 309796^2 + 96411^2 .

It is an emirp because it is prime and its reverse (735246862501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105268642537 - 2³ = 105268642529 is a prime.

It is a super-2 number, since 2×105268642537² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105268642837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52634321268 + 52634321269.

It is an arithmetic number, because the mean of its divisors is an integer number (52634321269).

Almost surely, 2^105268642537 is an apocalyptic number.

It is an amenable number.

105268642537 is a deficient number, since it is larger than the sum of its proper divisors (1).

105268642537 is an equidigital number, since it uses as much as digits as its factorization.

105268642537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 105268642537 in words is "one hundred five billion, two hundred sixty-eight million, six hundred forty-two thousand, five hundred thirty-seven".