105514514342929 has 2 divisors, whose sum is σ = 105514514342930. Its totient is φ = 105514514342928.

The previous prime is 105514514342899. The next prime is 105514514342969. The reversal of 105514514342929 is 929243415415501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70410643121025 + 35103871221904 = 8391105^2 + 5924852^2 .

It is a cyclic number.

It is not a de Polignac number, because 105514514342929 - 2²⁹ = 105513977472017 is a prime.

It is a super-2 number, since 2×105514514342929² (a number of 29 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 105514514342929.

It is not a weakly prime, because it can be changed into another prime (105514514342969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52757257171464 + 52757257171465.

It is an arithmetic number, because the mean of its divisors is an integer number (52757257171465).

Almost surely, 2^{105514514342929} is an apocalyptic number.

It is an amenable number.

105514514342929 is a deficient number, since it is larger than the sum of its proper divisors (1).

105514514342929 is an equidigital number, since it uses as much as digits as its factorization.

105514514342929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776000, while the sum is 55.

The spelling of 105514514342929 in words is "one hundred five trillion, five hundred fourteen billion, five hundred fourteen million, three hundred forty-two thousand, nine hundred twenty-nine".