106668809596800 has 576 divisors, whose sum is σ = 415273379798160. Its totient is φ = 25855809945600.

The previous prime is 106668809596793. The next prime is 106668809596813. The reversal of 106668809596800 is 8695908866601.

106668809596800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×106668809596800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 3274745314 + ... + 3274777886.

Almost surely, 2^{106668809596800} is an apocalyptic number.

106668809596800 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 106668809596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207636689899080).

106668809596800 is an abundant number, since it is smaller than the sum of its proper divisors (308604570201360).

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

106668809596800 is a wasteful number, since it uses less digits than its factorization.

106668809596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42951 (or 42931 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 106668809596800 in words is "one hundred six trillion, six hundred sixty-eight billion, eight hundred nine million, five hundred ninety-six thousand, eight hundred".