105165065 has 8 divisors (see below), whose sum is σ = 126269448. Its totient is φ = 84084480.

The previous prime is 105165061. The next prime is 105165079. The reversal of 105165065 is 560561501.

It can be written as a sum of positive squares in 4 ways, for example, as 33051001 + 72114064 = 5749^2 + 8492^2 .

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

It is not a de Polignac number, because 105165065 - 2² = 105165061 is a prime.

It is a super-2 number, since 2×105165065² = 22119381792908450, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105165061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5939 + ... + 15671.

It is an arithmetic number, because the mean of its divisors is an integer number (15783681).

Almost surely, 2^105165065 is an apocalyptic number.

It is an amenable number.

105165065 is a deficient number, since it is larger than the sum of its proper divisors (21104383).

105165065 is an equidigital number, since it uses as much as digits as its factorization.

105165065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11899.

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 105165065 is about 10255.0019502680. The cubic root of 105165065 is about 472.0164832532.

The spelling of 105165065 in words is "one hundred five million, one hundred sixty-five thousand, sixty-five".