106413682049 has 2 divisors, whose sum is σ = 106413682050. Its totient is φ = 106413682048.

The previous prime is 106413681953. The next prime is 106413682087. The reversal of 106413682049 is 940286314601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101676801424 + 4736880625 = 318868^2 + 68825^2 .

It is a cyclic number.

It is not a de Polignac number, because 106413682049 - 2⁸ = 106413681793 is a prime.

It is a super-2 number, since 2×106413682049² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106413682549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53206841024 + 53206841025.

It is an arithmetic number, because the mean of its divisors is an integer number (53206841025).

Almost surely, 2^106413682049 is an apocalyptic number.

It is an amenable number.

106413682049 is a deficient number, since it is larger than the sum of its proper divisors (1).

106413682049 is an equidigital number, since it uses as much as digits as its factorization.

106413682049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 106413682049 in words is "one hundred six billion, four hundred thirteen million, six hundred eighty-two thousand, forty-nine".