105772534713 has 6 divisors (see below), whose sum is σ = 152782550154. Its totient is φ = 70515023136.

The previous prime is 105772534601. The next prime is 105772534717. The reversal of 105772534713 is 317435277501.

105772534713 is a `hidden beast` number, since 1 + 0 + 577 + 2 + 5 + 3 + 4 + 71 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65601552384 + 40170982329 = 256128^2 + 200427^2 .

It is not a de Polignac number, because 105772534713 - 2¹⁰ = 105772533689 is a prime.

It is a super-2 number, since 2×105772534713² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105772534717) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5876251920 + ... + 5876251937.

It is an arithmetic number, because the mean of its divisors is an integer number (25463758359).

Almost surely, 2^105772534713 is an apocalyptic number.

It is an amenable number.

105772534713 is a deficient number, since it is larger than the sum of its proper divisors (47010015441).

105772534713 is a wasteful number, since it uses less digits than its factorization.

105772534713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11752503863 (or 11752503860 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 105772534713 in words is "one hundred five billion, seven hundred seventy-two million, five hundred thirty-four thousand, seven hundred thirteen".