100066065105 has 32 divisors (see below), whose sum is σ = 164134232064. Its totient is φ = 52034365376.

The previous prime is 100066065089. The next prime is 100066065119. The reversal of 100066065105 is 501560660001.

It is a cyclic number.

It is not a de Polignac number, because 100066065105 - 2⁴ = 100066065089 is a prime.

It is a super-3 number, since 3×100066065105³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84429 + ... + 455258.

It is an arithmetic number, because the mean of its divisors is an integer number (5129194752).

Almost surely, 2^100066065105 is an apocalyptic number.

100066065105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100066065105 is a deficient number, since it is larger than the sum of its proper divisors (64068166959).

100066065105 is a wasteful number, since it uses less digits than its factorization.

100066065105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540005.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 100066065105 in words is "one hundred billion, sixty-six million, sixty-five thousand, one hundred five".