105201305 has 16 divisors (see below), whose sum is σ = 138945024. Its totient is φ = 75828480.

The previous prime is 105201289. The next prime is 105201311. The reversal of 105201305 is 503102501.

It is not a de Polignac number, because 105201305 - 2⁴ = 105201289 is a prime.

It is a super-2 number, since 2×105201305² = 22134629147406050, which contains 22 as substring.

It is a Duffinian 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, 2249 + ... + 14678.

It is an arithmetic number, because the mean of its divisors is an integer number (8684064).

Almost surely, 2^105201305 is an apocalyptic number.

It is an amenable number.

105201305 is a deficient number, since it is larger than the sum of its proper divisors (33743719).

105201305 is a wasteful number, since it uses less digits than its factorization.

105201305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17056.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105201305 is about 10256.7687406902. The cubic root of 105201305 is about 472.0706961639.

Adding to 105201305 its reverse (503102501), we get a palindrome (608303806).

The spelling of 105201305 in words is "one hundred five million, two hundred one thousand, three hundred five".