106646633054208 has 288 divisors, whose sum is σ = 340295797447200. Its totient is φ = 32814334476288.

The previous prime is 106646633054191. The next prime is 106646633054231. The reversal of 106646633054208 is 802450336646601.

106646633054208 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 4 + 6 + 63 + 30 + 542 + 0 + 8 = 666.

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

It is a super-2 number, since 2×106646633054208² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44847228 + ... + 47165316.

It is an arithmetic number, because the mean of its divisors is an integer number (1181582630025).

Almost surely, 2^{106646633054208} is an apocalyptic number.

106646633054208 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 106646633054208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170147898723600).

106646633054208 is an abundant number, since it is smaller than the sum of its proper divisors (233649164392992).

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

106646633054208 is an frugal number, since it uses more digits than its factorization.

106646633054208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318145 (or 2318107 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 106646633054208 in words is "one hundred six trillion, six hundred forty-six billion, six hundred thirty-three million, fifty-four thousand, two hundred eight".