11106005605050 has 96 divisors (see below), whose sum is σ = 28342877904000. Its totient is φ = 2875896264960.

The previous prime is 11106005605039. The next prime is 11106005605063. The reversal of 11106005605050 is 5050650060111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11106005604999 and 11106005605017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859251 + ... + 4790649.

It is an arithmetic number, because the mean of its divisors is an integer number (295238311500).

Almost surely, 2^{11106005605050} is an apocalyptic number.

11106005605050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106005605050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171438952000).

11106005605050 is an abundant number, since it is smaller than the sum of its proper divisors (17236872298950).

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

11106005605050 is a wasteful number, since it uses less digits than its factorization.

11106005605050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931960 (or 3931955 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 11106005605050 its reverse (5050650060111), we get a palindrome (16156655665161).

The spelling of 11106005605050 in words is "eleven trillion, one hundred six billion, five million, six hundred five thousand, fifty".