105805491064 has 192 divisors, whose sum is σ = 265308825600. Its totient is φ = 39093062400.

The previous prime is 105805491049. The next prime is 105805491073. The reversal of 105805491064 is 460194508501.

It is a super-2 number, since 2×105805491064² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105805491064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6866809 + ... + 6882199.

It is an arithmetic number, because the mean of its divisors is an integer number (1381816800).

Almost surely, 2^105805491064 is an apocalyptic number.

105805491064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105805491064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132654412800).

105805491064 is an abundant number, since it is smaller than the sum of its proper divisors (159503334536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105805491064 is a wasteful number, since it uses less digits than its factorization.

105805491064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15514 (or 15503 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

Adding to 105805491064 its reverse (460194508501), we get a palindrome (565999999565).

The spelling of 105805491064 in words is "one hundred five billion, eight hundred five million, four hundred ninety-one thousand, sixty-four".