106223394816 has 1008 divisors, whose sum is σ = 407374435440. Its totient is φ = 27590492160.

The previous prime is 106223394811. The next prime is 106223394913. The reversal of 106223394816 is 618493322601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

106223394816 is a `hidden beast` number, since 1 + 0 + 622 + 3 + 3 + 9 + 4 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×106223394816² (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 (106223394811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9656672251 + ... + 9656672261.

It is an arithmetic number, because the mean of its divisors is an integer number (404141305).

Almost surely, 2^106223394816 is an apocalyptic number.

106223394816 is a gapful number since it is divisible by the number (16) 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 106223394816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203687217720).

106223394816 is an abundant number, since it is smaller than the sum of its proper divisors (301151040624).

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

106223394816 is an frugal number, since it uses more digits than its factorization.

106223394816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 106223394816 in words is "one hundred six billion, two hundred twenty-three million, three hundred ninety-four thousand, eight hundred sixteen".