105003165 has 16 divisors (see below), whose sum is σ = 175310208. Its totient is φ = 53566656.

The previous prime is 105003149. The next prime is 105003187. The reversal of 105003165 is 561300501.

It is a happy number.

It is not a de Polignac number, because 105003165 - 2⁴ = 105003149 is a prime.

It is a super-2 number, since 2×105003165² = 22051329320034450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151834 + ... + 152523.

It is an arithmetic number, because the mean of its divisors is an integer number (10956888).

Almost surely, 2^105003165 is an apocalyptic number.

105003165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105003165 is a deficient number, since it is larger than the sum of its proper divisors (70307043).

105003165 is a wasteful number, since it uses less digits than its factorization.

105003165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304388.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105003165 is about 10247.1052009824. The cubic root of 105003165 is about 471.7741381432.

Adding to 105003165 its reverse (561300501), we get a palindrome (666303666).

The spelling of 105003165 in words is "one hundred five million, three thousand, one hundred sixty-five".