106888867008 has 672 divisors, whose sum is σ = 375767973888. Its totient is φ = 26018150400.

The previous prime is 106888867003. The next prime is 106888867031. The reversal of 106888867008 is 800768888601.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×106888867008² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106888867003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1595356191 + ... + 1595356257.

Almost surely, 2^106888867008 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 106888867008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187883986944).

106888867008 is an abundant number, since it is smaller than the sum of its proper divisors (268879106880).

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

106888867008 is a wasteful number, since it uses less digits than its factorization.

106888867008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 60.

The spelling of 106888867008 in words is "one hundred six billion, eight hundred eighty-eight million, eight hundred sixty-seven thousand, eight".