7917165105 has 8 divisors (see below), whose sum is σ = 12667464192. Its totient is φ = 4222488048.

The previous prime is 7917165089. The next prime is 7917165121. The reversal of 7917165105 is 5015617197.

It is an interprime number because it is at equal distance from previous prime (7917165089) and next prime (7917165121).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 7917165105 - 2⁴ = 7917165089 is a prime.

It is a super-3 number, since 3×7917165105³ (a number of 31 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 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, 263905489 + ... + 263905518.

It is an arithmetic number, because the mean of its divisors is an integer number (1583433024).

Almost surely, 2^7917165105 is an apocalyptic number.

It is an amenable number.

7917165105 is a deficient number, since it is larger than the sum of its proper divisors (4750299087).

7917165105 is a wasteful number, since it uses less digits than its factorization.

7917165105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527811015.

The product of its (nonzero) digits is 66150, while the sum is 42.

The square root of 7917165105 is about 88978.4530378001. The cubic root of 7917165105 is about 1993.0731290093.

The spelling of 7917165105 in words is "seven billion, nine hundred seventeen million, one hundred sixty-five thousand, one hundred five".