105639950529 has 27 divisors (see below), whose sum is σ = 162120418473. Its totient is φ = 66273489792.

The previous prime is 105639950503. The next prime is 105639950561. The reversal of 105639950529 is 925059936501.

It is a happy number.

The square root of 105639950529 is 325023.

It is a perfect power (a square), and thus also a powerful number.

105639950529 is a `hidden beast` number, since 1 + 0 + 5 + 63 + 9 + 9 + 50 + 529 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38859054129 + 66780896400 = 197127^2 + 258420^2 .

It is not a de Polignac number, because 105639950529 - 2⁵ = 105639950497 is a prime.

It is a super-2 number, since 2×105639950529² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105639950569) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16572987 + ... + 16579359.

Almost surely, 2^105639950529 is an apocalyptic number.

105639950529 is the 325023-rd square number.

105639950529 is the 162512-nd centered octagonal number.

It is an amenable number.

105639950529 is a deficient number, since it is larger than the sum of its proper divisors (56480467944).

105639950529 is an frugal number, since it uses more digits than its factorization.

105639950529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12786 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 3280500, while the sum is 54.

The spelling of 105639950529 in words is "one hundred five billion, six hundred thirty-nine million, nine hundred fifty thousand, five hundred twenty-nine".