106556606500 has 96 divisors (see below), whose sum is σ = 234718664544. Its totient is φ = 42257779200.

The previous prime is 106556606479. The next prime is 106556606501. The reversal of 106556606500 is 5606655601.

It can be written as a sum of positive squares in 16 ways, for example, as 82561976896 + 23994629604 = 287336^2 + 154902^2 .

It is a super-3 number, since 3×106556606500³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106556606501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43723282 + ... + 43725718.

It is an arithmetic number, because the mean of its divisors is an integer number (2444986089).

Almost surely, 2^106556606500 is an apocalyptic number.

106556606500 is a gapful number since it is divisible by the number (10) 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 106556606500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117359332272).

106556606500 is an abundant number, since it is smaller than the sum of its proper divisors (128162058044).

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

106556606500 is a wasteful number, since it uses less digits than its factorization.

106556606500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 106556606500 in words is "one hundred six billion, five hundred fifty-six million, six hundred six thousand, five hundred".