105525254137 has 2 divisors, whose sum is σ = 105525254138. Its totient is φ = 105525254136.

The previous prime is 105525254123. The next prime is 105525254207. The reversal of 105525254137 is 731452525501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75183446416 + 30341807721 = 274196^2 + 174189^2 .

It is an emirp because it is prime and its reverse (731452525501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105525254137 - 2¹¹ = 105525252089 is a prime.

It is a super-2 number, since 2×105525254137² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105525254137.

It is not a weakly prime, because it can be changed into another prime (105525257137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52762627068 + 52762627069.

It is an arithmetic number, because the mean of its divisors is an integer number (52762627069).

Almost surely, 2^105525254137 is an apocalyptic number.

It is an amenable number.

105525254137 is a deficient number, since it is larger than the sum of its proper divisors (1).

105525254137 is an equidigital number, since it uses as much as digits as its factorization.

105525254137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210000, while the sum is 40.

Adding to 105525254137 its reverse (731452525501), we get a palindrome (836977779638).

The spelling of 105525254137 in words is "one hundred five billion, five hundred twenty-five million, two hundred fifty-four thousand, one hundred thirty-seven".