106647956808 has 288 divisors, whose sum is σ = 300340310400. Its totient is φ = 31535845376.

The previous prime is 106647956803. The next prime is 106647956861. The reversal of 106647956808 is 808659746601.

It is a super-3 number, since 3×106647956808³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106647956803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 274159078 + ... + 274159466.

It is an arithmetic number, because the mean of its divisors is an integer number (1042848300).

Almost surely, 2^106647956808 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 106647956808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150170155200).

106647956808 is an abundant number, since it is smaller than the sum of its proper divisors (193692353592).

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

106647956808 is a wasteful number, since it uses less digits than its factorization.

106647956808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 106647956808 in words is "one hundred six billion, six hundred forty-seven million, nine hundred fifty-six thousand, eight hundred eight".