106657265749 has 2 divisors, whose sum is σ = 106657265750. Its totient is φ = 106657265748.

The previous prime is 106657265717. The next prime is 106657265797. The reversal of 106657265749 is 947562756601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106426012900 + 231252849 = 326230^2 + 15207^2 .

It is a cyclic number.

It is not a de Polignac number, because 106657265749 - 2⁵ = 106657265717 is a prime.

It is a super-2 number, since 2×106657265749² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106657265693 and 106657265702.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106657235749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53328632874 + 53328632875.

It is an arithmetic number, because the mean of its divisors is an integer number (53328632875).

Almost surely, 2^106657265749 is an apocalyptic number.

It is an amenable number.

106657265749 is a deficient number, since it is larger than the sum of its proper divisors (1).

106657265749 is an equidigital number, since it uses as much as digits as its factorization.

106657265749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19051200, while the sum is 58.

The spelling of 106657265749 in words is "one hundred six billion, six hundred fifty-seven million, two hundred sixty-five thousand, seven hundred forty-nine".