105075513 has 12 divisors (see below), whose sum is σ = 152170980. Its totient is φ = 69867936.

The previous prime is 105075511. The next prime is 105075539. The reversal of 105075513 is 315570501.

105075513 is a `hidden beast` number, since 105 + 0 + 7 + 551 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6827769 + 98247744 = 2613^2 + 9912^2 .

It is not a de Polignac number, because 105075513 - 2¹ = 105075511 is a prime.

It is a super-2 number, since 2×105075513² = 22081726864426338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105075511) 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 11 ways as a sum of consecutive naturals, for example, 11506 + ... + 18507.

It is an arithmetic number, because the mean of its divisors is an integer number (12680915).

Almost surely, 2^105075513 is an apocalyptic number.

It is an amenable number.

105075513 is a deficient number, since it is larger than the sum of its proper divisors (47095467).

105075513 is a wasteful number, since it uses less digits than its factorization.

105075513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30408 (or 30405 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 105075513 is about 10250.6347608331. The cubic root of 105075513 is about 471.8824652884.

The spelling of 105075513 in words is "one hundred five million, seventy-five thousand, five hundred thirteen".