106561324288 has 144 divisors (see below), whose sum is σ = 234571075200. Its totient is φ = 48088719360.

The previous prime is 106561324253. The next prime is 106561324313. The reversal of 106561324288 is 882423165601.

It is a super-2 number, since 2×106561324288² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 30091798 + ... + 30095338.

It is an arithmetic number, because the mean of its divisors is an integer number (1628965800).

Almost surely, 2^106561324288 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 106561324288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117285537600).

106561324288 is an abundant number, since it is smaller than the sum of its proper divisors (128009750912).

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

106561324288 is a wasteful number, since it uses less digits than its factorization.

106561324288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

Adding to 106561324288 its reverse (882423165601), we get a palindrome (988984489889).

The spelling of 106561324288 in words is "one hundred six billion, five hundred sixty-one million, three hundred twenty-four thousand, two hundred eighty-eight".