105700511005 has 16 divisors (see below), whose sum is σ = 127150145280. Its totient is φ = 84354257728.

The previous prime is 105700510997. The next prime is 105700511011. The reversal of 105700511005 is 500115007501.

It is a cyclic number.

It is not a de Polignac number, because 105700511005 - 2³ = 105700510997 is a prime.

It is a super-2 number, since 2×105700511005² (a number of 23 digits) 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, 4528956 + ... + 4552234.

It is an arithmetic number, because the mean of its divisors is an integer number (7946884080).

Almost surely, 2^105700511005 is an apocalyptic number.

It is an amenable number.

105700511005 is a deficient number, since it is larger than the sum of its proper divisors (21449634275).

105700511005 is a wasteful number, since it uses less digits than its factorization.

105700511005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25460.

The product of its (nonzero) digits is 875, while the sum is 25.

Adding to 105700511005 its reverse (500115007501), we get a palindrome (605815518506).

The spelling of 105700511005 in words is "one hundred five billion, seven hundred million, five hundred eleven thousand, five".