105572266167 has 16 divisors (see below), whose sum is σ = 150852971520. Its totient is φ = 65501944992.

The previous prime is 105572266147. The next prime is 105572266169. The reversal of 105572266167 is 761662275501.

It is not a de Polignac number, because 105572266167 - 2¹⁸ = 105572004023 is a prime.

It is a super-2 number, since 2×105572266167² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105572266169) 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, 20673567 + ... + 20678672.

It is an arithmetic number, because the mean of its divisors is an integer number (9428310720).

Almost surely, 2^105572266167 is an apocalyptic number.

105572266167 is a deficient number, since it is larger than the sum of its proper divisors (45280705353).

105572266167 is a wasteful number, since it uses less digits than its factorization.

105572266167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41352302.

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 105572266167 in words is "one hundred five billion, five hundred seventy-two million, two hundred sixty-six thousand, one hundred sixty-seven".