105716550729 has 32 divisors (see below), whose sum is σ = 147268264320. Its totient is φ = 67370465792.

The previous prime is 105716550691. The next prime is 105716550739. The reversal of 105716550729 is 927055617501.

It is a cyclic number.

It is not a de Polignac number, because 105716550729 - 2¹⁵ = 105716517961 is a prime.

It is a super-2 number, since 2×105716550729² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105716550739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25067029 + ... + 25071245.

It is an arithmetic number, because the mean of its divisors is an integer number (4602133260).

Almost surely, 2^105716550729 is an apocalyptic number.

It is an amenable number.

105716550729 is a deficient number, since it is larger than the sum of its proper divisors (41551713591).

105716550729 is a wasteful number, since it uses less digits than its factorization.

105716550729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7049.

The product of its (nonzero) digits is 661500, while the sum is 48.

The spelling of 105716550729 in words is "one hundred five billion, seven hundred sixteen million, five hundred fifty thousand, seven hundred twenty-nine".