106150464000 has 720 divisors, whose sum is σ = 444874211496. Its totient is φ = 24256512000.

The previous prime is 106150463957. The next prime is 106150464097. The reversal of 106150464000 is 464051601.

106150464000 is a `hidden beast` number, since 1 + 0 + 6 + 15 + 0 + 4 + 640 + 0 + 0 = 666.

106150464000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28563704064 + 77586759936 = 169008^2 + 278544^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×106150464000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28222120 + ... + 28225880.

Almost surely, 2^106150464000 is an apocalyptic number.

106150464000 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 106150464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222437105748).

106150464000 is an abundant number, since it is smaller than the sum of its proper divisors (338723747496).

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

106150464000 is an equidigital number, since it uses as much as digits as its factorization.

106150464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 106150464000 in words is "one hundred six billion, one hundred fifty million, four hundred sixty-four thousand".