105430167 has 28 divisors (see below), whose sum is σ = 163556520. Its totient is φ = 67849488.

The previous prime is 105430153. The next prime is 105430187. The reversal of 105430167 is 761034501.

It is not a de Polignac number, because 105430167 - 2⁶ = 105430103 is a prime.

It is a super-2 number, since 2×105430167² = 22231040227295778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105430167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105430187) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18648 + ... + 23634.

Almost surely, 2^105430167 is an apocalyptic number.

105430167 is a deficient number, since it is larger than the sum of its proper divisors (58126353).

105430167 is an frugal number, since it uses more digits than its factorization.

105430167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105430167 is about 10267.9193121099. The cubic root of 105430167 is about 472.4127730139.

Adding to 105430167 its reverse (761034501), we get a palindrome (866464668).

The spelling of 105430167 in words is "one hundred five million, four hundred thirty thousand, one hundred sixty-seven".