106663813607829 has 32 divisors (see below), whose sum is σ = 147420981227520. Its totient is φ = 68517888001472.

The previous prime is 106663813607779. The next prime is 106663813607833. The reversal of 106663813607829 is 928706318366601.

It is a cyclic number.

It is not a de Polignac number, because 106663813607829 - 2²⁷ = 106663679390101 is a prime.

It is a super-2 number, since 2×106663813607829² (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 106663813607829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106663813607849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2000157364 + ... + 2000210690.

It is an arithmetic number, because the mean of its divisors is an integer number (4606905663360).

Almost surely, 2^{106663813607829} is an apocalyptic number.

It is an amenable number.

106663813607829 is a deficient number, since it is larger than the sum of its proper divisors (40757167619691).

106663813607829 is a wasteful number, since it uses less digits than its factorization.

106663813607829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99569.

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 106663813607829 in words is "one hundred six trillion, six hundred sixty-three billion, eight hundred thirteen million, six hundred seven thousand, eight hundred twenty-nine".