100006105060000 has 120 divisors (see below), whose sum is σ = 246101854513284. Its totient is φ = 39990762240000.

The previous prime is 100006105059989. The next prime is 100006105060007. The reversal of 100006105060000 is 60501600001.

It can be written as a sum of positive squares in 10 ways, for example, as 25170248864016 + 74835856195984 = 5016996^2 + 8650772^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100006105060000.

It is not an unprimeable number, because it can be changed into a prime (100006105060007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67931730 + ... + 69388270.

Almost surely, 2^{100006105060000} is an apocalyptic number.

100006105060000 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 100006105060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123050927256642).

100006105060000 is an abundant number, since it is smaller than the sum of its proper divisors (146095749453284).

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

100006105060000 is an equidigital number, since it uses as much as digits as its factorization.

100006105060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460004 (or 1459981 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 100006105060000 its reverse (60501600001), we get a palindrome (100066606660001).

The spelling of 100006105060000 in words is "one hundred trillion, six billion, one hundred five million, sixty thousand".