105370427329 has 2 divisors, whose sum is σ = 105370427330. Its totient is φ = 105370427328.

The previous prime is 105370427291. The next prime is 105370427401. The reversal of 105370427329 is 923724073501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89133296704 + 16237130625 = 298552^2 + 127425^2 .

It is a cyclic number.

It is not a de Polignac number, because 105370427329 - 2¹⁵ = 105370394561 is a prime.

It is a super-2 number, since 2×105370427329² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105370467329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52685213664 + 52685213665.

It is an arithmetic number, because the mean of its divisors is an integer number (52685213665).

Almost surely, 2^105370427329 is an apocalyptic number.

It is an amenable number.

105370427329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105370427329 is an equidigital number, since it uses as much as digits as its factorization.

105370427329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 105370427329 in words is "one hundred five billion, three hundred seventy million, four hundred twenty-seven thousand, three hundred twenty-nine".