106364334006 has 60 divisors (see below), whose sum is σ = 277246737108. Its totient is φ = 30389807448.

The previous prime is 106364334001. The next prime is 106364334029. The reversal of 106364334006 is 600433463601.

106364334006 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 643 + 3 + 4 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×106364334006² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106364334001) 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 29 ways as a sum of consecutive naturals, for example, 6691756 + ... + 6707631.

Almost surely, 2^106364334006 is an apocalyptic number.

106364334006 is an abundant number, since it is smaller than the sum of its proper divisors (170882403102).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106364334006 is a wasteful number, since it uses less digits than its factorization.

106364334006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13399415 (or 13399399 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 106364334006 its reverse (600433463601), we get a palindrome (706797797607).

The spelling of 106364334006 in words is "one hundred six billion, three hundred sixty-four million, three hundred thirty-four thousand, six".