105238767867 has 16 divisors (see below), whose sum is σ = 140467795200. Its totient is φ = 70084504800.

The previous prime is 105238767737. The next prime is 105238767877. The reversal of 105238767867 is 768767832501.

It is a happy number.

It is not a de Polignac number, because 105238767867 - 2²³ = 105230379259 is a prime.

It is a super-3 number, since 3×105238767867³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105238767867.

It is not an unprimeable number, because it can be changed into a prime (105238767877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16973634 + ... + 16979832.

It is an arithmetic number, because the mean of its divisors is an integer number (8779237200).

Almost surely, 2^105238767867 is an apocalyptic number.

105238767867 is a deficient number, since it is larger than the sum of its proper divisors (35229027333).

105238767867 is a wasteful number, since it uses less digits than its factorization.

105238767867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11314.

The product of its (nonzero) digits is 23708160, while the sum is 60.

The spelling of 105238767867 in words is "one hundred five billion, two hundred thirty-eight million, seven hundred sixty-seven thousand, eight hundred sixty-seven".