106973821674720 has 3840 divisors, whose sum is σ = 525286489964544. Its totient is φ = 19779158016000.

The previous prime is 106973821674667. The next prime is 106973821674757. The reversal of 106973821674720 is 27476128379601.

106973821674720 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 73 + 82 + 16 + 7 + 472 + 0 = 666.

It is a super-2 number, since 2×106973821674720² (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 (17) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 185396571072 + ... + 185396571648.

Almost surely, 2^{106973821674720} is an apocalyptic number.

106973821674720 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 106973821674720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262643244982272).

106973821674720 is an abundant number, since it is smaller than the sum of its proper divisors (418312668289824).

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

106973821674720 is a wasteful number, since it uses less digits than its factorization.

106973821674720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 106973821674720 in words is "one hundred six trillion, nine hundred seventy-three billion, eight hundred twenty-one million, six hundred seventy-four thousand, seven hundred twenty".