106581775584083 has 2 divisors, whose sum is σ = 106581775584084. Its totient is φ = 106581775584082.

The previous prime is 106581775583977. The next prime is 106581775584107. The reversal of 106581775584083 is 380485577185601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106581775584083 - 2⁸ = 106581775583827 is a prime.

It is a super-2 number, since 2×106581775584083² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106581475584083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53290887792041 + 53290887792042.

It is an arithmetic number, because the mean of its divisors is an integer number (53290887792042).

Almost surely, 2^{106581775584083} is an apocalyptic number.

106581775584083 is a deficient number, since it is larger than the sum of its proper divisors (1).

106581775584083 is an equidigital number, since it uses as much as digits as its factorization.

106581775584083 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792000, while the sum is 68.

The spelling of 106581775584083 in words is "one hundred six trillion, five hundred eighty-one billion, seven hundred seventy-five million, five hundred eighty-four thousand, eighty-three".