105167929 has 2 divisors, whose sum is σ = 105167930. Its totient is φ = 105167928.

The previous prime is 105167921. The next prime is 105167939. The reversal of 105167929 is 929761501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99042304 + 6125625 = 9952^2 + 2475^2 .

It is a cyclic number.

It is not a de Polignac number, because 105167929 - 2³ = 105167921 is a prime.

It is a super-2 number, since 2×105167929² = 22120586580298082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105167891 and 105167900.

It is not a weakly prime, because it can be changed into another prime (105167921) 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 as a sum of consecutive naturals, namely, 52583964 + 52583965.

It is an arithmetic number, because the mean of its divisors is an integer number (52583965).

Almost surely, 2^105167929 is an apocalyptic number.

It is an amenable number.

105167929 is a deficient number, since it is larger than the sum of its proper divisors (1).

105167929 is an equidigital number, since it uses as much as digits as its factorization.

105167929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 40.

The square root of 105167929 is about 10255.1415884911. The cubic root of 105167929 is about 472.0207680822.

The spelling of 105167929 in words is "one hundred five million, one hundred sixty-seven thousand, nine hundred twenty-nine".