106282651668480 has 2496 divisors, whose sum is σ = 451331072179200. Its totient is φ = 23946540613632.

The previous prime is 106282651668449. The next prime is 106282651668503. The reversal of 106282651668480 is 84866156282601.

106282651668480 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 82 + 6 + 5 + 16 + 68 + 480 = 666.

It is a super-2 number, since 2×106282651668480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173381160654 + ... + 173381161266.

Almost surely, 2^{106282651668480} is an apocalyptic number.

106282651668480 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 106282651668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225665536089600).

106282651668480 is an abundant number, since it is smaller than the sum of its proper divisors (345048420510720).

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

106282651668480 is an frugal number, since it uses more digits than its factorization.

106282651668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 106282651668480 in words is "one hundred six trillion, two hundred eighty-two billion, six hundred fifty-one million, six hundred sixty-eight thousand, four hundred eighty".