105467442717 has 32 divisors (see below), whose sum is σ = 173100648448. Its totient is φ = 55622863296.

The previous prime is 105467442683. The next prime is 105467442733. The reversal of 105467442717 is 717244764501.

It is a happy number.

It is not a de Polignac number, because 105467442717 - 2⁸ = 105467442461 is a prime.

It is a super-2 number, since 2×105467442717² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105467442797) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2083368 + ... + 2133390.

It is an arithmetic number, because the mean of its divisors is an integer number (5409395264).

Almost surely, 2^105467442717 is an apocalyptic number.

It is an amenable number.

105467442717 is a deficient number, since it is larger than the sum of its proper divisors (67633205731).

105467442717 is a wasteful number, since it uses less digits than its factorization.

105467442717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57769.

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 105467442717 in words is "one hundred five billion, four hundred sixty-seven million, four hundred forty-two thousand, seven hundred seventeen".