106105560500 has 72 divisors (see below), whose sum is σ = 237526342872. Its totient is φ = 41406720000.

The previous prime is 106105560443. The next prime is 106105560599. The reversal of 106105560500 is 5065501601.

It can be written as a sum of positive squares in 12 ways, for example, as 98744263696 + 7361296804 = 314236^2 + 85798^2 .

It is a super-3 number, since 3×106105560500³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 777380 + ... + 903620.

Almost surely, 2^106105560500 is an apocalyptic number.

106105560500 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 106105560500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118763171436).

106105560500 is an abundant number, since it is smaller than the sum of its proper divisors (131420782372).

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

106105560500 is a wasteful number, since it uses less digits than its factorization.

106105560500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126342 (or 126289 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 106105560500 in words is "one hundred six billion, one hundred five million, five hundred sixty thousand, five hundred".