106025663060657 has 2 divisors, whose sum is σ = 106025663060658. Its totient is φ = 106025663060656.

The previous prime is 106025663060621. The next prime is 106025663060659. The reversal of 106025663060657 is 756060366520601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102039574943296 + 3986088117361 = 10101464^2 + 1996519^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106025663060657 is a prime.

It is a super-2 number, since 2×106025663060657² (a number of 29 digits) contains 22 as substring.

Together with 106025663060659, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106025663060599 and 106025663060608.

It is not a weakly prime, because it can be changed into another prime (106025663060659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53012831530328 + 53012831530329.

It is an arithmetic number, because the mean of its divisors is an integer number (53012831530329).

Almost surely, 2^{106025663060657} is an apocalyptic number.

It is an amenable number.

106025663060657 is a deficient number, since it is larger than the sum of its proper divisors (1).

106025663060657 is an equidigital number, since it uses as much as digits as its factorization.

106025663060657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8164800, while the sum is 53.

The spelling of 106025663060657 in words is "one hundred six trillion, twenty-five billion, six hundred sixty-three million, sixty thousand, six hundred fifty-seven".