106950408586944 has 224 divisors, whose sum is σ = 317047394205696. Its totient is φ = 31595514531840.

The previous prime is 106950408586909. The next prime is 106950408586963. The reversal of 106950408586944 is 449685804059601.

It is a super-2 number, since 2×106950408586944² (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 31 ways as a sum of consecutive naturals, for example, 4384954 + ... + 15268550.

It is an arithmetic number, because the mean of its divisors is an integer number (1415390152704).

Almost surely, 2^{106950408586944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106950408586944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158523697102848).

106950408586944 is an abundant number, since it is smaller than the sum of its proper divisors (210096985618752).

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

106950408586944 is a wasteful number, since it uses less digits than its factorization.

106950408586944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10883783 (or 10883773 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 69.

The spelling of 106950408586944 in words is "one hundred six trillion, nine hundred fifty billion, four hundred eight million, five hundred eighty-six thousand, nine hundred forty-four".