106336512000 has 288 divisors, whose sum is σ = 383293277640. Its totient is φ = 28355788800.

The previous prime is 106336511993. The next prime is 106336512019. The reversal of 106336512000 is 215633601.

106336512000 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 3 + 651 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58386023424 + 47950488576 = 241632^2 + 218976^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106336512000² (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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2280924 + ... + 2327076.

Almost surely, 2^106336512000 is an apocalyptic number.

106336512000 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 106336512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191646638820).

106336512000 is an abundant number, since it is smaller than the sum of its proper divisors (276956765640).

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

106336512000 is an equidigital number, since it uses as much as digits as its factorization.

106336512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46196 (or 46163 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 106336512000 in words is "one hundred six billion, three hundred thirty-six million, five hundred twelve thousand".