106581775583977 has 2 divisors, whose sum is σ = 106581775583978. Its totient is φ = 106581775583976.

The previous prime is 106581775583951. The next prime is 106581775584083. The reversal of 106581775583977 is 779385577185601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106559043689536 + 22731894441 = 10322744^2 + 150771^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106581775583977 is a prime.

It is a super-2 number, since 2×106581775583977² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106581775583897 and 106581775583906.

It is not a weakly prime, because it can be changed into another prime (106581775583947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53290887791988 + 53290887791989.

It is an arithmetic number, because the mean of its divisors is an integer number (53290887791989).

Almost surely, 2^{106581775583977} is an apocalyptic number.

It is an amenable number.

106581775583977 is a deficient number, since it is larger than the sum of its proper divisors (1).

106581775583977 is an equidigital number, since it uses as much as digits as its factorization.

106581775583977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3111696000, while the sum is 79.

The spelling of 106581775583977 in words is "one hundred six trillion, five hundred eighty-one billion, seven hundred seventy-five million, five hundred eighty-three thousand, nine hundred seventy-seven".