106164443875683 has 16 divisors (see below), whose sum is σ = 142269078124800. Its totient is φ = 70418078606304.

The previous prime is 106164443875663. The next prime is 106164443875687. The reversal of 106164443875683 is 386578344461601.

It is not a de Polignac number, because 106164443875683 - 2²² = 106164439681379 is a prime.

It is a super-2 number, since 2×106164443875683² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106164443875687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13293460 + ... + 19724222.

It is an arithmetic number, because the mean of its divisors is an integer number (8891817382800).

Almost surely, 2^{106164443875683} is an apocalyptic number.

106164443875683 is a deficient number, since it is larger than the sum of its proper divisors (36104634249117).

106164443875683 is a wasteful number, since it uses less digits than its factorization.

106164443875683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458618.

The product of its (nonzero) digits is 278691840, while the sum is 66.

The spelling of 106164443875683 in words is "one hundred six trillion, one hundred sixty-four billion, four hundred forty-three million, eight hundred seventy-five thousand, six hundred eighty-three".