105442165 has 8 divisors (see below), whose sum is σ = 126691488. Its totient is φ = 84246480.

The previous prime is 105442151. The next prime is 105442199. The reversal of 105442165 is 561244501.

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

It is not a de Polignac number, because 105442165 - 2⁹ = 105441653 is a prime.

It is a super-4 number, since 4×105442165⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8947 + ... + 17056.

It is an arithmetic number, because the mean of its divisors is an integer number (15836436).

Almost surely, 2^105442165 is an apocalyptic number.

It is an amenable number.

105442165 is a deficient number, since it is larger than the sum of its proper divisors (21249323).

105442165 is an equidigital number, since it uses as much as digits as its factorization.

105442165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26819.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 105442165 is about 10268.5035423863. The cubic root of 105442165 is about 472.4306925955.

Adding to 105442165 its reverse (561244501), we get a palindrome (666686666).

It can be divided in two parts, 105 and 442165, that added together give a triangular number (442270 = T₉₄₀).

The spelling of 105442165 in words is "one hundred five million, four hundred forty-two thousand, one hundred sixty-five".