106365983568 has 80 divisors (see below), whose sum is σ = 296794295616. Its totient is φ = 32630814720.

The previous prime is 106365983557. The next prime is 106365983593. The reversal of 106365983568 is 865389563601.

It is a happy number.

It is a super-2 number, since 2×106365983568² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42618 + ... + 463193.

Almost surely, 2^106365983568 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 106365983568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148397147808).

106365983568 is an abundant number, since it is smaller than the sum of its proper divisors (190428312048).

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

106365983568 is a wasteful number, since it uses less digits than its factorization.

106365983568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506172 (or 506166 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 106365983568 in words is "one hundred six billion, three hundred sixty-five million, nine hundred eighty-three thousand, five hundred sixty-eight".