100016671165705 has 16 divisors (see below), whose sum is σ = 137165993320320. Its totient is φ = 68582723795712.

The previous prime is 100016671165657. The next prime is 100016671165717. The reversal of 100016671165705 is 507561176610001.

It is a de Polignac number, because none of the positive numbers 2^k-100016671165705 is a prime.

It is a super-3 number, since 3×100016671165705³ (a number of 43 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 15 ways as a sum of consecutive naturals, for example, 16942842 + ... + 22070188.

It is an arithmetic number, because the mean of its divisors is an integer number (8572874582520).

Almost surely, 2^{100016671165705} is an apocalyptic number.

It is an amenable number.

100016671165705 is a deficient number, since it is larger than the sum of its proper divisors (37149322154615).

100016671165705 is an equidigital number, since it uses as much as digits as its factorization.

100016671165705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684688.

The product of its (nonzero) digits is 264600, while the sum is 46.

The spelling of 100016671165705 in words is "one hundred trillion, sixteen billion, six hundred seventy-one million, one hundred sixty-five thousand, seven hundred five".