105771438667 has 16 divisors (see below), whose sum is σ = 110121659424. Its totient is φ = 101518560000.

The previous prime is 105771438653. The next prime is 105771438727. The reversal of 105771438667 is 766834177501.

It is a cyclic number.

It is not a de Polignac number, because 105771438667 - 2¹⁵ = 105771405899 is a prime.

It is a super-2 number, since 2×105771438667² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105771438607) 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, 568792 + ... + 731482.

It is an arithmetic number, because the mean of its divisors is an integer number (6882603714).

Almost surely, 2^105771438667 is an apocalyptic number.

105771438667 is a deficient number, since it is larger than the sum of its proper divisors (4350220757).

105771438667 is a wasteful number, since it uses less digits than its factorization.

105771438667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162990.

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 105771438667 in words is "one hundred five billion, seven hundred seventy-one million, four hundred thirty-eight thousand, six hundred sixty-seven".