105766770040331 has 8 divisors (see below), whose sum is σ = 107521513596384. Its totient is φ = 104012699454720.

The previous prime is 105766770040291. The next prime is 105766770040333. The reversal of 105766770040331 is 133040077667501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105766770040331 is a prime.

It is a super-2 number, since 2×105766770040331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105766770040331.

It is not an unprimeable number, because it can be changed into a prime (105766770040333) 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 7 ways as a sum of consecutive naturals, for example, 167925671 + ... + 168554336.

It is an arithmetic number, because the mean of its divisors is an integer number (13440189199548).

Almost surely, 2^{105766770040331} is an apocalyptic number.

105766770040331 is a deficient number, since it is larger than the sum of its proper divisors (1754743556053).

105766770040331 is an equidigital number, since it uses as much as digits as its factorization.

105766770040331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336485221.

The product of its (nonzero) digits is 2222640, while the sum is 50.

The spelling of 105766770040331 in words is "one hundred five trillion, seven hundred sixty-six billion, seven hundred seventy million, forty thousand, three hundred thirty-one".