105167161 has 4 divisors (see below), whose sum is σ = 114727824. Its totient is φ = 95606500.

The previous prime is 105167149. The next prime is 105167171. The reversal of 105167161 is 161761501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 105167161 - 2⁵ = 105167129 is a prime.

It is a super-2 number, since 2×105167161² = 22120263505599842, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105167131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4780315 + ... + 4780336.

It is an arithmetic number, because the mean of its divisors is an integer number (28681956).

Almost surely, 2^105167161 is an apocalyptic number.

105167161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105167161 is a deficient number, since it is larger than the sum of its proper divisors (9560663).

105167161 is an equidigital number, since it uses as much as digits as its factorization.

105167161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9560662.

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 105167161 is about 10255.1041437910. The cubic root of 105167161 is about 472.0196190854.

The spelling of 105167161 in words is "one hundred five million, one hundred sixty-seven thousand, one hundred sixty-one".