105240005 has 16 divisors (see below), whose sum is σ = 136723440. Its totient is φ = 77303808.

The previous prime is 105239999. The next prime is 105240017. The reversal of 105240005 is 500042501.

It can be written as a sum of positive squares in 8 ways, for example, as 3976036 + 101263969 = 1994^2 + 10063^2 .

It is a cyclic number.

It is not a de Polignac number, because 105240005 - 2⁸ = 105239749 is a prime.

It is a super-2 number, since 2×105240005² = 22150917304800050, which contains 22 as substring.

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, 8351 + ... + 16739.

It is an arithmetic number, because the mean of its divisors is an integer number (8545215).

Almost surely, 2^105240005 is an apocalyptic number.

It is an amenable number.

105240005 is a deficient number, since it is larger than the sum of its proper divisors (31483435).

105240005 is a wasteful number, since it uses less digits than its factorization.

105240005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8600.

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 105240005 is about 10258.6551262824. The cubic root of 105240005 is about 472.1285753452.

Adding to 105240005 its reverse (500042501), we get a palindrome (605282506).

The spelling of 105240005 in words is "one hundred five million, two hundred forty thousand, five".