106782131 has 2 divisors, whose sum is σ = 106782132. Its totient is φ = 106782130.

The previous prime is 106782127. The next prime is 106782133. The reversal of 106782131 is 131287601.

It is a strong prime.

It is an emirp because it is prime and its reverse (131287601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106782131 - 2² = 106782127 is a prime.

It is a super-2 number, since 2×106782131² = 22804847001802322, which contains 22 as substring.

Together with 106782133, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106782094 and 106782103.

It is not a weakly prime, because it can be changed into another prime (106782133) 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, 53391065 + 53391066.

It is an arithmetic number, because the mean of its divisors is an integer number (53391066).

Almost surely, 2^106782131 is an apocalyptic number.

106782131 is a deficient number, since it is larger than the sum of its proper divisors (1).

106782131 is an equidigital number, since it uses as much as digits as its factorization.

106782131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 106782131 is about 10333.5439709714. The cubic root of 106782131 is about 474.4235015212.

The spelling of 106782131 in words is "one hundred six million, seven hundred eighty-two thousand, one hundred thirty-one".