105364157027417 has 8 divisors (see below), whose sum is σ = 105469012044480. Its totient is φ = 105259319754480.

The previous prime is 105364157027369. The next prime is 105364157027431. The reversal of 105364157027417 is 714720751463501.

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

It is a cyclic number.

It is not a de Polignac number, because 105364157027417 - 2¹⁰ = 105364157026393 is a prime.

It is a super-2 number, since 2×105364157027417² (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 (105364157024417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7461692 + ... + 16321922.

It is an arithmetic number, because the mean of its divisors is an integer number (13183626505560).

Almost surely, 2^{105364157027417} is an apocalyptic number.

It is an amenable number.

105364157027417 is a deficient number, since it is larger than the sum of its proper divisors (104855017063).

105364157027417 is a wasteful number, since it uses less digits than its factorization.

105364157027417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8872063.

The product of its (nonzero) digits is 4939200, while the sum is 53.

The spelling of 105364157027417 in words is "one hundred five trillion, three hundred sixty-four billion, one hundred fifty-seven million, twenty-seven thousand, four hundred seventeen".