11006056100 has 72 divisors (see below), whose sum is σ = 25772386920. Its totient is φ = 4055546880.

The previous prime is 11006056091. The next prime is 11006056111. The reversal of 11006056100 is 165060011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5226711616 + 5779344484 = 72296^2 + 76022^2 .

It is a super-2 number, since 2×11006056100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653384 + ... + 670016.

Almost surely, 2^11006056100 is an apocalyptic number.

11006056100 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 11006056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12886193460).

11006056100 is an abundant number, since it is smaller than the sum of its proper divisors (14766330820).

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

11006056100 is a wasteful number, since it uses less digits than its factorization.

11006056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17169 (or 17162 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 11006056100 in words is "eleven billion, six million, fifty-six thousand, one hundred".