1100106444544 has 72 divisors (see below), whose sum is σ = 2219221393088. Its totient is φ = 544218808320.

The previous prime is 1100106444527. The next prime is 1100106444571. The reversal of 1100106444544 is 4454446010011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157356889 + ... + 157363879.

Almost surely, 2^{1100106444544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100106444544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109610696544).

1100106444544 is an abundant number, since it is smaller than the sum of its proper divisors (1119114948544).

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

1100106444544 is an frugal number, since it uses more digits than its factorization.

1100106444544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13441 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 1100106444544 in words is "one trillion, one hundred billion, one hundred six million, four hundred forty-four thousand, five hundred forty-four".