106465667683649 has 2 divisors, whose sum is σ = 106465667683650. Its totient is φ = 106465667683648.

The previous prime is 106465667683637. The next prime is 106465667683691. The reversal of 106465667683649 is 946386766564601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89855706600625 + 16609961083024 = 9479225^2 + 4075532^2 .

It is a cyclic number.

It is not a de Polignac number, because 106465667683649 - 2⁴⁴ = 88873481639233 is a prime.

It is a super-2 number, since 2×106465667683649² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106465667683649.

It is not a weakly prime, because it can be changed into another prime (106465667683699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53232833841824 + 53232833841825.

It is an arithmetic number, because the mean of its divisors is an integer number (53232833841825).

Almost surely, 2^{106465667683649} is an apocalyptic number.

It is an amenable number.

106465667683649 is a deficient number, since it is larger than the sum of its proper divisors (1).

106465667683649 is an equidigital number, since it uses as much as digits as its factorization.

106465667683649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5643509760, while the sum is 77.

The spelling of 106465667683649 in words is "one hundred six trillion, four hundred sixty-five billion, six hundred sixty-seven million, six hundred eighty-three thousand, six hundred forty-nine".