106863161616 has 120 divisors (see below), whose sum is σ = 306909002400. Its totient is φ = 34690291200.

The previous prime is 106863161597. The next prime is 106863161633. The reversal of 106863161616 is 616161368601.

106863161616 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 631 + 6 + 1 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×106863161616² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3355335 + ... + 3387033.

It is an arithmetic number, because the mean of its divisors is an integer number (2557575020).

Almost surely, 2^106863161616 is an apocalyptic number.

106863161616 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 106863161616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153454501200).

106863161616 is an abundant number, since it is smaller than the sum of its proper divisors (200045840784).

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

106863161616 is a wasteful number, since it uses less digits than its factorization.

106863161616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32325 (or 32316 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 106863161616 in words is "one hundred six billion, eight hundred sixty-three million, one hundred sixty-one thousand, six hundred sixteen".