105012392705289 has 12 divisors (see below), whose sum is σ = 151691461340016. Its totient is φ = 70005079911672.

The previous prime is 105012392705257. The next prime is 105012392705323. The reversal of 105012392705289 is 982507293210501.

105012392705289 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 1 + 23 + 92 + 7 + 0 + 528 + 9 = 666.

It is not a de Polignac number, because 105012392705289 - 2⁵ = 105012392705257 is a prime.

It is a super-2 number, since 2×105012392705289² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105012392705189) 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 in 11 ways as a sum of consecutive naturals, for example, 264948627 + ... + 265344680.

It is an arithmetic number, because the mean of its divisors is an integer number (12640955111668).

Almost surely, 2^{105012392705289} is an apocalyptic number.

It is an amenable number.

105012392705289 is a deficient number, since it is larger than the sum of its proper divisors (46679068634727).

105012392705289 is a wasteful number, since it uses less digits than its factorization.

105012392705289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530315316 (or 530315313 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 105012392705289 in words is "one hundred five trillion, twelve billion, three hundred ninety-two million, seven hundred five thousand, two hundred eighty-nine".