105235005 has 16 divisors (see below), whose sum is σ = 175697280. Its totient is φ = 53684928.

The previous prime is 105234971. The next prime is 105235007. The reversal of 105235005 is 500532501.

It is not a de Polignac number, because 105235005 - 2¹³ = 105226813 is a prime.

It is a super-2 number, since 2×105235005² = 22148812554700050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105235007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152170 + ... + 152859.

It is an arithmetic number, because the mean of its divisors is an integer number (10981080).

Almost surely, 2^105235005 is an apocalyptic number.

105235005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105235005 is a deficient number, since it is larger than the sum of its proper divisors (70462275).

105235005 is a wasteful number, since it uses less digits than its factorization.

105235005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305060.

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 105235005 is about 10258.4114267268. The cubic root of 105235005 is about 472.1210982131.

Adding to 105235005 its reverse (500532501), we get a palindrome (605767506).

The spelling of 105235005 in words is "one hundred five million, two hundred thirty-five thousand, five".