100005061005005 has 16 divisors (see below), whose sum is σ = 129361695939840. Its totient is φ = 73778813299008.

The previous prime is 100005061004963. The next prime is 100005061005049. The reversal of 100005061005005 is 500500160500001.

It is a cyclic number.

It is not a de Polignac number, because 100005061005005 - 2⁶ = 100005061004941 is a prime.

It is a super-3 number, since 3×100005061005005³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 740326787 + ... + 740461856.

It is an arithmetic number, because the mean of its divisors is an integer number (8085105996240).

Almost surely, 2^{100005061005005} is an apocalyptic number.

It is an amenable number.

100005061005005 is a deficient number, since it is larger than the sum of its proper divisors (29356634934835).

100005061005005 is a wasteful number, since it uses less digits than its factorization.

100005061005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480789700.

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 100005061005005 in words is "one hundred trillion, five billion, sixty-one million, five thousand, five".