1005661066110 has 16 divisors (see below), whose sum is σ = 2413586558736. Its totient is φ = 268176284288.

The previous prime is 1005661066037. The next prime is 1005661066169. The reversal of 1005661066110 is 116601665001.

It is a super-2 number, since 2×1005661066110² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16761017739 + ... + 16761017798.

It is an arithmetic number, because the mean of its divisors is an integer number (150849159921).

Almost surely, 2^{1005661066110} is an apocalyptic number.

1005661066110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005661066110 is an abundant number, since it is smaller than the sum of its proper divisors (1407925492626).

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

1005661066110 is a wasteful number, since it uses less digits than its factorization.

1005661066110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33522035547.

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 1005661066110 in words is "one trillion, five billion, six hundred sixty-one million, sixty-six thousand, one hundred ten".