105112531129 has 2 divisors, whose sum is σ = 105112531130. Its totient is φ = 105112531128.

The previous prime is 105112531123. The next prime is 105112531163. The reversal of 105112531129 is 921135211501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102734993529 + 2377537600 = 320523^2 + 48760^2 .

It is a cyclic number.

It is not a de Polignac number, because 105112531129 - 2²⁵ = 105078976697 is a prime.

It is a super-2 number, since 2×105112531129² (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 105112531129.

It is not a weakly prime, because it can be changed into another prime (105112531123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52556265564 + 52556265565.

It is an arithmetic number, because the mean of its divisors is an integer number (52556265565).

Almost surely, 2^105112531129 is an apocalyptic number.

It is an amenable number.

105112531129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105112531129 is an equidigital number, since it uses as much as digits as its factorization.

105112531129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 31.

The spelling of 105112531129 in words is "one hundred five billion, one hundred twelve million, five hundred thirty-one thousand, one hundred twenty-nine".