106288699026216 has 384 divisors, whose sum is σ = 317572311830400. Its totient is φ = 29542264012800.

The previous prime is 106288699026187. The next prime is 106288699026239. The reversal of 106288699026216 is 612620996882601.

It is a super-4 number, since 4×106288699026216⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14376933816 + ... + 14376941208.

It is an arithmetic number, because the mean of its divisors is an integer number (827011228725).

Almost surely, 2^{106288699026216} 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 106288699026216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158786155915200).

106288699026216 is an abundant number, since it is smaller than the sum of its proper divisors (211283612804184).

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

106288699026216 is a wasteful number, since it uses less digits than its factorization.

106288699026216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8569 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 66.

The spelling of 106288699026216 in words is "one hundred six trillion, two hundred eighty-eight billion, six hundred ninety-nine million, twenty-six thousand, two hundred sixteen".