106401155014993 has 2 divisors, whose sum is σ = 106401155014994. Its totient is φ = 106401155014992.

The previous prime is 106401155014969. The next prime is 106401155015047. The reversal of 106401155014993 is 399410551104601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83025409501584 + 23375745513409 = 9111828^2 + 4834847^2 .

It is an emirp because it is prime and its reverse (399410551104601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106401155014993 - 2¹⁷ = 106401154883921 is a prime.

It is a super-2 number, since 2×106401155014993² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106401155014793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53200577507496 + 53200577507497.

It is an arithmetic number, because the mean of its divisors is an integer number (53200577507497).

Almost surely, 2^{106401155014993} is an apocalyptic number.

It is an amenable number.

106401155014993 is a deficient number, since it is larger than the sum of its proper divisors (1).

106401155014993 is an equidigital number, since it uses as much as digits as its factorization.

106401155014993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 583200, while the sum is 49.

The spelling of 106401155014993 in words is "one hundred six trillion, four hundred one billion, one hundred fifty-five million, fourteen thousand, nine hundred ninety-three".