105121317143417 has 16 divisors (see below), whose sum is σ = 105371293440000. Its totient is φ = 104871616484544.

The previous prime is 105121317143371. The next prime is 105121317143431. The reversal of 105121317143417 is 714341713121501.

It is a cyclic number.

It is not a de Polignac number, because 105121317143417 - 2⁴⁶ = 34752572965753 is a prime.

It is a super-2 number, since 2×105121317143417² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105121317143497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6704585384 + ... + 6704601062.

It is an arithmetic number, because the mean of its divisors is an integer number (6585705840000).

Almost surely, 2^{105121317143417} is an apocalyptic number.

It is an amenable number.

105121317143417 is a deficient number, since it is larger than the sum of its proper divisors (249976296583).

105121317143417 is a wasteful number, since it uses less digits than its factorization.

105121317143417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23480.

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 105121317143417 in words is "one hundred five trillion, one hundred twenty-one billion, three hundred seventeen million, one hundred forty-three thousand, four hundred seventeen".