106938517793 has 2 divisors, whose sum is σ = 106938517794. Its totient is φ = 106938517792.

The previous prime is 106938517729. The next prime is 106938517841. The reversal of 106938517793 is 397715839601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96418323169 + 10520194624 = 310513^2 + 102568^2 .

It is a cyclic number.

It is not a de Polignac number, because 106938517793 - 2⁶ = 106938517729 is a prime.

It is a super-2 number, since 2×106938517793² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106938517723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53469258896 + 53469258897.

It is an arithmetic number, because the mean of its divisors is an integer number (53469258897).

Almost surely, 2^106938517793 is an apocalyptic number.

It is an amenable number.

106938517793 is a deficient number, since it is larger than the sum of its proper divisors (1).

106938517793 is an equidigital number, since it uses as much as digits as its factorization.

106938517793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8573040, while the sum is 59.

The spelling of 106938517793 in words is "one hundred six billion, nine hundred thirty-eight million, five hundred seventeen thousand, seven hundred ninety-three".