106782811241 has 2 divisors, whose sum is σ = 106782811242. Its totient is φ = 106782811240.

The previous prime is 106782811237. The next prime is 106782811253. The reversal of 106782811241 is 142118287601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54971491600 + 51811319641 = 234460^2 + 227621^2 .

It is an emirp because it is prime and its reverse (142118287601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106782811241 - 2² = 106782811237 is a prime.

It is a super-2 number, since 2×106782811241² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106782811211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53391405620 + 53391405621.

It is an arithmetic number, because the mean of its divisors is an integer number (53391405621).

Almost surely, 2^106782811241 is an apocalyptic number.

It is an amenable number.

106782811241 is a deficient number, since it is larger than the sum of its proper divisors (1).

106782811241 is an equidigital number, since it uses as much as digits as its factorization.

106782811241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43008, while the sum is 41.

The spelling of 106782811241 in words is "one hundred six billion, seven hundred eighty-two million, eight hundred eleven thousand, two hundred forty-one".