106713682191 has 48 divisors (see below), whose sum is σ = 173111178240. Its totient is φ = 62949070080.

The previous prime is 106713682181. The next prime is 106713682213. The reversal of 106713682191 is 191286317601.

106713682191 is a `hidden beast` number, since 1 + 0 + 6 + 71 + 368 + 219 + 1 = 666.

It is not a de Polignac number, because 106713682191 - 2²⁵ = 106680127759 is a prime.

It is a super-2 number, since 2×106713682191² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106713682111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240706 + ... + 520928.

It is an arithmetic number, because the mean of its divisors is an integer number (3606482880).

Almost surely, 2^106713682191 is an apocalyptic number.

106713682191 is a deficient number, since it is larger than the sum of its proper divisors (66397496049).

106713682191 is a wasteful number, since it uses less digits than its factorization.

106713682191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280396 (or 280393 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

Adding to 106713682191 its reverse (191286317601), we get a palindrome (297999999792).

The spelling of 106713682191 in words is "one hundred six billion, seven hundred thirteen million, six hundred eighty-two thousand, one hundred ninety-one".