105415042529 has 2 divisors, whose sum is σ = 105415042530. Its totient is φ = 105415042528.

The previous prime is 105415042519. The next prime is 105415042547. The reversal of 105415042529 is 925240514501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92160816400 + 13254226129 = 303580^2 + 115127^2 .

It is a cyclic number.

It is not a de Polignac number, because 105415042529 - 2²⁸ = 105146607073 is a prime.

It is a super-2 number, since 2×105415042529² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105415042492 and 105415042501.

It is not a weakly prime, because it can be changed into another prime (105415042519) 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, 52707521264 + 52707521265.

It is an arithmetic number, because the mean of its divisors is an integer number (52707521265).

Almost surely, 2^105415042529 is an apocalyptic number.

It is an amenable number.

105415042529 is a deficient number, since it is larger than the sum of its proper divisors (1).

105415042529 is an equidigital number, since it uses as much as digits as its factorization.

105415042529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 105415042529 in words is "one hundred five billion, four hundred fifteen million, forty-two thousand, five hundred twenty-nine".