1110105006006 has 32 divisors (see below), whose sum is σ = 2222329690368. Its totient is φ = 369681890400.

The previous prime is 1110105005957. The next prime is 1110105006013. The reversal of 1110105006006 is 6006005010111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29625975 + ... + 29663421.

It is an arithmetic number, because the mean of its divisors is an integer number (69447802824).

Almost surely, 2^{1110105006006} is an apocalyptic number.

1110105006006 is an abundant number, since it is smaller than the sum of its proper divisors (1112224684362).

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

1110105006006 is a wasteful number, since it uses less digits than its factorization.

1110105006006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42036.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 1110105006006 in words is "one trillion, one hundred ten billion, one hundred five million, six thousand, six".