106781251673 has 2 divisors, whose sum is σ = 106781251674. Its totient is φ = 106781251672.

The previous prime is 106781251667. The next prime is 106781251679. The reversal of 106781251673 is 376152187601.

It is a balanced prime because it is at equal distance from previous prime (106781251667) and next prime (106781251679).

It can be written as a sum of positive squares in only one way, i.e., 60195641104 + 46585610569 = 245348^2 + 215837^2 .

It is an emirp because it is prime and its reverse (376152187601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106781251673 - 2⁶ = 106781251609 is a prime.

It is a super-2 number, since 2×106781251673² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106781251679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53390625836 + 53390625837.

It is an arithmetic number, because the mean of its divisors is an integer number (53390625837).

Almost surely, 2^106781251673 is an apocalyptic number.

It is an amenable number.

106781251673 is a deficient number, since it is larger than the sum of its proper divisors (1).

106781251673 is an equidigital number, since it uses as much as digits as its factorization.

106781251673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 106781251673 in words is "one hundred six billion, seven hundred eighty-one million, two hundred fifty-one thousand, six hundred seventy-three".