106786572961 has 2 divisors, whose sum is σ = 106786572962. Its totient is φ = 106786572960.

The previous prime is 106786572889. The next prime is 106786572979. The reversal of 106786572961 is 169275687601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76430131600 + 30356441361 = 276460^2 + 174231^2 .

It is a cyclic number.

It is not a de Polignac number, because 106786572961 - 2⁹ = 106786572449 is a prime.

It is a super-2 number, since 2×106786572961² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106786572896 and 106786572905.

It is not a weakly prime, because it can be changed into another prime (106786512961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53393286480 + 53393286481.

It is an arithmetic number, because the mean of its divisors is an integer number (53393286481).

Almost surely, 2^106786572961 is an apocalyptic number.

It is an amenable number.

106786572961 is a deficient number, since it is larger than the sum of its proper divisors (1).

106786572961 is an equidigital number, since it uses as much as digits as its factorization.

106786572961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 106786572961 in words is "one hundred six billion, seven hundred eighty-six million, five hundred seventy-two thousand, nine hundred sixty-one".