106563796992 has 256 divisors, whose sum is σ = 319852742400. Its totient is φ = 35497377792.

The previous prime is 106563796973. The next prime is 106563797003. The reversal of 106563796992 is 299697365601.

106563796992 is a `hidden beast` number, since 1 + 0 + 6 + 563 + 7 + 9 + 69 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×106563796992² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71662873 + ... + 71664359.

It is an arithmetic number, because the mean of its divisors is an integer number (1249424775).

Almost surely, 2^106563796992 is an apocalyptic number.

106563796992 is a gapful number since it is divisible by the number (12) 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 106563796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159926371200).

106563796992 is an abundant number, since it is smaller than the sum of its proper divisors (213288945408).

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

106563796992 is an frugal number, since it uses more digits than its factorization.

106563796992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 106563796992 in words is "one hundred six billion, five hundred sixty-three million, seven hundred ninety-six thousand, nine hundred ninety-two".