11106010006100 has 36 divisors (see below), whose sum is σ = 24101018053308. Its totient is φ = 4442224032000.

The previous prime is 11106010006099. The next prime is 11106010006261. The reversal of 11106010006100 is 160001060111.

It can be written as a sum of positive squares in 6 ways, for example, as 93673947844 + 11012336058256 = 306062^2 + 3318484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244880 + ... + 4719320.

It is an arithmetic number, because the mean of its divisors is an integer number (669472723703).

Almost surely, 2^{11106010006100} is an apocalyptic number.

11106010006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11106010006100 is an abundant number, since it is smaller than the sum of its proper divisors (12995008047208).

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

11106010006100 is a wasteful number, since it uses less digits than its factorization.

11106010006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499276 (or 4499269 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 11106010006100 its reverse (160001060111), we get a palindrome (11266011066211).

The spelling of 11106010006100 in words is "eleven trillion, one hundred six billion, ten million, six thousand, one hundred".