106543090368 has 672 divisors, whose sum is σ = 390465868800. Its totient is φ = 28220037120.

The previous prime is 106543090363. The next prime is 106543090399. The reversal of 106543090368 is 863090345601.

106543090368 is a `hidden beast` number, since 10 + 6 + 543 + 0 + 90 + 3 + 6 + 8 = 666.

It is a super-3 number, since 3×106543090368³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106543090363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51643705 + ... + 51645767.

It is an arithmetic number, because the mean of its divisors is an integer number (581050400).

Almost surely, 2^106543090368 is an apocalyptic number.

106543090368 is a gapful number since it is divisible by the number (18) 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 106543090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195232934400).

106543090368 is an abundant number, since it is smaller than the sum of its proper divisors (283922778432).

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

106543090368 is a wasteful number, since it uses less digits than its factorization.

106543090368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 106543090368 in words is "one hundred six billion, five hundred forty-three million, ninety thousand, three hundred sixty-eight".