105125165 has 8 divisors (see below), whose sum is σ = 126509688. Its totient is φ = 83860480.

The previous prime is 105125147. The next prime is 105125213. The reversal of 105125165 is 561521501.

It can be written as a sum of positive squares in 4 ways, for example, as 38180041 + 66945124 = 6179^2 + 8182^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105125165 - 2⁸ = 105124909 is a prime.

It is a super-2 number, since 2×105125165² = 22102600632554450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28016 + ... + 31545.

It is an arithmetic number, because the mean of its divisors is an integer number (15813711).

Almost surely, 2^105125165 is an apocalyptic number.

It is an amenable number.

105125165 is a deficient number, since it is larger than the sum of its proper divisors (21384523).

105125165 is an equidigital number, since it uses as much as digits as its factorization.

105125165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59919.

The product of its (nonzero) digits is 1500, while the sum is 26.

The square root of 105125165 is about 10253.0563735893. The cubic root of 105125165 is about 471.9567807909.

Adding to 105125165 its reverse (561521501), we get a palindrome (666646666).

The spelling of 105125165 in words is "one hundred five million, one hundred twenty-five thousand, one hundred sixty-five".