105075035513 has 32 divisors (see below), whose sum is σ = 127375027200. Its totient is φ = 84672523584.

The previous prime is 105075035503. The next prime is 105075035521. The reversal of 105075035513 is 315530570501.

It is a cyclic number.

It is not a de Polignac number, because 105075035513 - 2⁶ = 105075035449 is a prime.

It is a super-2 number, since 2×105075035513² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105075035503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9565058 + ... + 9576036.

It is an arithmetic number, because the mean of its divisors is an integer number (3980469600).

Almost surely, 2^105075035513 is an apocalyptic number.

It is an amenable number.

105075035513 is a deficient number, since it is larger than the sum of its proper divisors (22299991687).

105075035513 is a wasteful number, since it uses less digits than its factorization.

105075035513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11549.

The product of its (nonzero) digits is 39375, while the sum is 35.

The spelling of 105075035513 in words is "one hundred five billion, seventy-five million, thirty-five thousand, five hundred thirteen".