106864320816 has 160 divisors (see below), whose sum is σ = 335041651200. Its totient is φ = 32342872320.

The previous prime is 106864320799. The next prime is 106864320847. The reversal of 106864320816 is 618023468601.

It is a super-2 number, since 2×106864320816² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3925845 + ... + 3952971.

It is an arithmetic number, because the mean of its divisors is an integer number (2094010320).

Almost surely, 2^106864320816 is an apocalyptic number.

106864320816 is a gapful number since it is divisible by the number (16) 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 106864320816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167520825600).

106864320816 is an abundant number, since it is smaller than the sum of its proper divisors (228177330384).

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

106864320816 is a wasteful number, since it uses less digits than its factorization.

106864320816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27984 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 106864320816 in words is "one hundred six billion, eight hundred sixty-four million, three hundred twenty thousand, eight hundred sixteen".