105344252129 has 2 divisors, whose sum is σ = 105344252130. Its totient is φ = 105344252128.

The previous prime is 105344252089. The next prime is 105344252177. The reversal of 105344252129 is 921252443501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66745755904 + 38598496225 = 258352^2 + 196465^2 .

It is a cyclic number.

It is not a de Polignac number, because 105344252129 - 2²⁸ = 105075816673 is a prime.

It is a super-2 number, since 2×105344252129² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105344252092 and 105344252101.

It is not a weakly prime, because it can be changed into another prime (105344252179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52672126064 + 52672126065.

It is an arithmetic number, because the mean of its divisors is an integer number (52672126065).

Almost surely, 2^105344252129 is an apocalyptic number.

It is an amenable number.

105344252129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105344252129 is an equidigital number, since it uses as much as digits as its factorization.

105344252129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 105344252129 in words is "one hundred five billion, three hundred forty-four million, two hundred fifty-two thousand, one hundred twenty-nine".