106011954478049 has 2 divisors, whose sum is σ = 106011954478050. Its totient is φ = 106011954478048.

The previous prime is 106011954478043. The next prime is 106011954478057. The reversal of 106011954478049 is 940874459110601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102757653933025 + 3254300545024 = 10136945^2 + 1803968^2 .

It is an emirp because it is prime and its reverse (940874459110601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106011954478049 - 2⁴ = 106011954478033 is a prime.

It is a super-2 number, since 2×106011954478049² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106011954478043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53005977239024 + 53005977239025.

It is an arithmetic number, because the mean of its divisors is an integer number (53005977239025).

Almost surely, 2^{106011954478049} is an apocalyptic number.

It is an amenable number.

106011954478049 is a deficient number, since it is larger than the sum of its proper divisors (1).

106011954478049 is an equidigital number, since it uses as much as digits as its factorization.

106011954478049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8709120, while the sum is 59.

The spelling of 106011954478049 in words is "one hundred six trillion, eleven billion, nine hundred fifty-four million, four hundred seventy-eight thousand, forty-nine".