106814780641 has 2 divisors, whose sum is σ = 106814780642. Its totient is φ = 106814780640.

The previous prime is 106814780609. The next prime is 106814780651. The reversal of 106814780641 is 146087418601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76432896225 + 30381884416 = 276465^2 + 174304^2 .

It is an emirp because it is prime and its reverse (146087418601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106814780641 - 2⁵ = 106814780609 is a prime.

It is a super-2 number, since 2×106814780641² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106814780591 and 106814780600.

It is not a weakly prime, because it can be changed into another prime (106814780651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53407390320 + 53407390321.

It is an arithmetic number, because the mean of its divisors is an integer number (53407390321).

Almost surely, 2^106814780641 is an apocalyptic number.

It is an amenable number.

106814780641 is a deficient number, since it is larger than the sum of its proper divisors (1).

106814780641 is an equidigital number, since it uses as much as digits as its factorization.

106814780641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 106814780641 in words is "one hundred six billion, eight hundred fourteen million, seven hundred eighty thousand, six hundred forty-one".