106782811307 has 2 divisors, whose sum is σ = 106782811308. Its totient is φ = 106782811306.

The previous prime is 106782811273. The next prime is 106782811319. The reversal of 106782811307 is 703118287601.

It is a strong prime.

It is an emirp because it is prime and its reverse (703118287601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106782811307 - 2¹² = 106782807211 is a prime.

It is a super-2 number, since 2×106782811307² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106782811357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53391405653 + 53391405654.

It is an arithmetic number, because the mean of its divisors is an integer number (53391405654).

Almost surely, 2^106782811307 is an apocalyptic number.

106782811307 is a deficient number, since it is larger than the sum of its proper divisors (1).

106782811307 is an equidigital number, since it uses as much as digits as its factorization.

106782811307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 44.

The spelling of 106782811307 in words is "one hundred six billion, seven hundred eighty-two million, eight hundred eleven thousand, three hundred seven".