106682735873 has 8 divisors (see below), whose sum is σ = 122057558592. Its totient is φ = 91341521136.

The previous prime is 106682735869. The next prime is 106682735881. The reversal of 106682735873 is 378537286601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106682735873 - 2² = 106682735869 is a prime.

It is a super-2 number, since 2×106682735873² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106682735273) 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 in 7 ways as a sum of consecutive naturals, for example, 8395190 + ... + 8407887.

It is an arithmetic number, because the mean of its divisors is an integer number (15257194824).

Almost surely, 2^106682735873 is an apocalyptic number.

It is an amenable number.

106682735873 is a deficient number, since it is larger than the sum of its proper divisors (15374822719).

106682735873 is an equidigital number, since it uses as much as digits as its factorization.

106682735873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16803991.

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 106682735873 in words is "one hundred six billion, six hundred eighty-two million, seven hundred thirty-five thousand, eight hundred seventy-three".