105305135 has 16 divisors (see below), whose sum is σ = 137000640. Its totient is φ = 77241600.

The previous prime is 105305107. The next prime is 105305143. The reversal of 105305135 is 531503501.

It is not a de Polignac number, because 105305135 - 2²² = 101110831 is a prime.

It is a super-2 number, since 2×105305135² = 22178342914736450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105305135.

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, 4451 + ... + 15179.

It is an arithmetic number, because the mean of its divisors is an integer number (8562540).

Almost surely, 2^105305135 is an apocalyptic number.

105305135 is a deficient number, since it is larger than the sum of its proper divisors (31695505).

105305135 is a wasteful number, since it uses less digits than its factorization.

105305135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10898.

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 105305135 is about 10261.8290280047. The cubic root of 105305135 is about 472.2259508407.

Adding to 105305135 its reverse (531503501), we get a palindrome (636808636).

The spelling of 105305135 in words is "one hundred five million, three hundred five thousand, one hundred thirty-five".