106708895467821 has 128 divisors (see below), whose sum is σ = 164250763407360. Its totient is φ = 68416289162496.

The previous prime is 106708895467793. The next prime is 106708895467859. The reversal of 106708895467821 is 128764598807601.

It is a happy number.

106708895467821 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 0 + 8 + 8 + 9 + 546 + 78 + 2 + 1 = 666.

It is not a de Polignac number, because 106708895467821 - 2¹⁴ = 106708895451437 is a prime.

It is a super-2 number, since 2×106708895467821² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106708895467821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106708895467121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22982744926 + ... + 22982749568.

It is an arithmetic number, because the mean of its divisors is an integer number (1283209089120).

Almost surely, 2^{106708895467821} is an apocalyptic number.

It is an amenable number.

106708895467821 is a deficient number, since it is larger than the sum of its proper divisors (57541867939539).

106708895467821 is a wasteful number, since it uses less digits than its factorization.

106708895467821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 106708895467821 in words is "one hundred six trillion, seven hundred eight billion, eight hundred ninety-five million, four hundred sixty-seven thousand, eight hundred twenty-one".