106816986672 has 160 divisors (see below), whose sum is σ = 313506720000. Its totient is φ = 31042206720.

The previous prime is 106816986631. The next prime is 106816986707. The reversal of 106816986672 is 276689618601.

It is a super-2 number, since 2×106816986672² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) 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, 2258079 + ... + 2304897.

It is an arithmetic number, because the mean of its divisors is an integer number (1959417000).

Almost surely, 2^106816986672 is an apocalyptic number.

106816986672 is a gapful number since it is divisible by the number (12) 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 106816986672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156753360000).

106816986672 is an abundant number, since it is smaller than the sum of its proper divisors (206689733328).

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

106816986672 is a wasteful number, since it uses less digits than its factorization.

106816986672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47019 (or 47013 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 106816986672 in words is "one hundred six billion, eight hundred sixteen million, nine hundred eighty-six thousand, six hundred seventy-two".