1105006105564 has 24 divisors (see below), whose sum is σ = 2003907201408. Its totient is φ = 532599889920.

The previous prime is 1105006105561. The next prime is 1105006105591. The reversal of 1105006105564 is 4655016005011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105006105561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17305369 + ... + 17369104.

It is an arithmetic number, because the mean of its divisors is an integer number (83496133392).

Almost surely, 2^{1105006105564} is an apocalyptic number.

It is an amenable number.

1105006105564 is a deficient number, since it is larger than the sum of its proper divisors (898901095844).

1105006105564 is a wasteful number, since it uses less digits than its factorization.

1105006105564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34674765 (or 34674763 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 1105006105564 in words is "one trillion, one hundred five billion, six million, one hundred five thousand, five hundred sixty-four".