106868885760 has 1440 divisors, whose sum is σ = 482649818112. Its totient is φ = 21976842240.

The previous prime is 106868885719. The next prime is 106868885789. The reversal of 106868885760 is 67588868601.

106868885760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×106868885760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 443439240 + ... + 443439480.

Almost surely, 2^106868885760 is an apocalyptic number.

106868885760 is a gapful number since it is divisible by the number (10) 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 106868885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241324909056).

106868885760 is an abundant number, since it is smaller than the sum of its proper divisors (375780932352).

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

106868885760 is a wasteful number, since it uses less digits than its factorization.

106868885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 106868885760 in words is "one hundred six billion, eight hundred sixty-eight million, eight hundred eighty-five thousand, seven hundred sixty".