105105616129 has 2 divisors, whose sum is σ = 105105616130. Its totient is φ = 105105616128.

The previous prime is 105105616103. The next prime is 105105616199. The reversal of 105105616129 is 921616501501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77631890625 + 27473725504 = 278625^2 + 165752^2 .

It is a cyclic number.

It is not a de Polignac number, because 105105616129 - 2¹⁵ = 105105583361 is a prime.

It is a super-2 number, since 2×105105616129² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105105616199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52552808064 + 52552808065.

It is an arithmetic number, because the mean of its divisors is an integer number (52552808065).

Almost surely, 2^105105616129 is an apocalyptic number.

It is an amenable number.

105105616129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105105616129 is an equidigital number, since it uses as much as digits as its factorization.

105105616129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 37.

The spelling of 105105616129 in words is "one hundred five billion, one hundred five million, six hundred sixteen thousand, one hundred twenty-nine".