105301838769 has 4 divisors (see below), whose sum is σ = 140402451696. Its totient is φ = 70201225844.

The previous prime is 105301838731. The next prime is 105301838783. The reversal of 105301838769 is 967838103501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105301838769 - 2¹⁶ = 105301773233 is a prime.

It is a super-2 number, since 2×105301838769² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105301830769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17550306459 + ... + 17550306464.

It is an arithmetic number, because the mean of its divisors is an integer number (35100612924).

Almost surely, 2^105301838769 is an apocalyptic number.

It is an amenable number.

105301838769 is a deficient number, since it is larger than the sum of its proper divisors (35100612927).

105301838769 is an equidigital number, since it uses as much as digits as its factorization.

105301838769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35100612926.

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 105301838769 in words is "one hundred five billion, three hundred one million, eight hundred thirty-eight thousand, seven hundred sixty-nine".