1006056106110 has 96 divisors (see below), whose sum is σ = 2854396920960. Its totient is φ = 243819230400.

The previous prime is 1006056106109. The next prime is 1006056106123. The reversal of 1006056106110 is 116016506001.

It is a congruent number.

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, 3186561 + ... + 3488019.

It is an arithmetic number, because the mean of its divisors is an integer number (29733301260).

Almost surely, 2^{1006056106110} is an apocalyptic number.

1006056106110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006056106110 is an abundant number, since it is smaller than the sum of its proper divisors (1848340814850).

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

1006056106110 is a wasteful number, since it uses less digits than its factorization.

1006056106110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304854 (or 304851 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1006056106110 in words is "one trillion, six billion, fifty-six million, one hundred six thousand, one hundred ten".