106955924418816 has 216 divisors, whose sum is σ = 319156559142624. Its totient is φ = 31534912880640.

The previous prime is 106955924418799. The next prime is 106955924418877. The reversal of 106955924418816 is 618814429559601.

It is a super-2 number, since 2×106955924418816² (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 6941316 + ... + 16189308.

Almost surely, 2^{106955924418816} is an apocalyptic number.

106955924418816 is a gapful number since it is divisible by the number (16) 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 106955924418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159578279571312).

106955924418816 is an abundant number, since it is smaller than the sum of its proper divisors (212200634723808).

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

106955924418816 is an equidigital number, since it uses as much as digits as its factorization.

106955924418816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248097 (or 9248046 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 69.

The spelling of 106955924418816 in words is "one hundred six trillion, nine hundred fifty-five billion, nine hundred twenty-four million, four hundred eighteen thousand, eight hundred sixteen".