105772217667 has 16 divisors (see below), whose sum is σ = 144580125312. Its totient is φ = 68742198080.

The previous prime is 105772217623. The next prime is 105772217729. The reversal of 105772217667 is 766712277501.

It is a cyclic number.

It is not a de Polignac number, because 105772217667 - 2¹⁵ = 105772184899 is a prime.

It is a super-2 number, since 2×105772217667² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105772217267) 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, 168213 + ... + 489734.

It is an arithmetic number, because the mean of its divisors is an integer number (9036257832).

Almost surely, 2^105772217667 is an apocalyptic number.

105772217667 is a deficient number, since it is larger than the sum of its proper divisors (38807907645).

105772217667 is a wasteful number, since it uses less digits than its factorization.

105772217667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659298.

The product of its (nonzero) digits is 1728720, while the sum is 51.

The spelling of 105772217667 in words is "one hundred five billion, seven hundred seventy-two million, two hundred seventeen thousand, six hundred sixty-seven".