106606805000000 has 448 divisors, whose sum is σ = 276212386644480. Its totient is φ = 40782816000000.

The previous prime is 106606804999991. The next prime is 106606805000039. The reversal of 106606805000000 is 508606601.

It is a super-3 number, since 3×106606805000000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10914995117 + ... + 10915004883.

Almost surely, 2^{106606805000000} is an apocalyptic number.

106606805000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106606805000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138106193322240).

106606805000000 is an abundant number, since it is smaller than the sum of its proper divisors (169605581644480).

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

106606805000000 is an frugal number, since it uses more digits than its factorization.

106606805000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 106606805000000 in words is "one hundred six trillion, six hundred six billion, eight hundred five million", and thus it is an aban number.