105471165417 has 32 divisors (see below), whose sum is σ = 151853709312. Its totient is φ = 64867805184.

The previous prime is 105471165413. The next prime is 105471165421. The reversal of 105471165417 is 714561174501.

It is an interprime number because it is at equal distance from previous prime (105471165413) and next prime (105471165421).

It is not a de Polignac number, because 105471165417 - 2² = 105471165413 is a prime.

It is a super-2 number, since 2×105471165417² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105471165413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2920213 + ... + 2956109.

It is an arithmetic number, because the mean of its divisors is an integer number (4745428416).

Almost surely, 2^105471165417 is an apocalyptic number.

105471165417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105471165417 is a deficient number, since it is larger than the sum of its proper divisors (46382543895).

105471165417 is a wasteful number, since it uses less digits than its factorization.

105471165417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37057.

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 105471165417 in words is "one hundred five billion, four hundred seventy-one million, one hundred sixty-five thousand, four hundred seventeen".