105113005 has 8 divisors (see below), whose sum is σ = 127553400. Its totient is φ = 83145216.

The previous prime is 105113003. The next prime is 105113039. The reversal of 105113005 is 500311501.

It can be written as a sum of positive squares in 4 ways, for example, as 1623076 + 103489929 = 1274^2 + 10173^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105113005 - 2¹ = 105113003 is a prime.

It is a super-2 number, since 2×105113005² = 22097487640260050, 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 105113005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105113003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117660 + ... + 118549.

It is an arithmetic number, because the mean of its divisors is an integer number (15944175).

Almost surely, 2^105113005 is an apocalyptic number.

It is an amenable number.

105113005 is a deficient number, since it is larger than the sum of its proper divisors (22440395).

105113005 is an equidigital number, since it uses as much as digits as its factorization.

105113005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236303.

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 105113005 is about 10252.4633625290. The cubic root of 105113005 is about 471.9385827513.

Adding to 105113005 its reverse (500311501), we get a palindrome (605424506).

The spelling of 105113005 in words is "one hundred five million, one hundred thirteen thousand, five".