105564461343 has 64 divisors (see below), whose sum is σ = 158324834304. Its totient is φ = 62017200000.

The previous prime is 105564461297. The next prime is 105564461399. The reversal of 105564461343 is 343164465501.

It is a happy number.

It is not a de Polignac number, because 105564461343 - 2⁸ = 105564461087 is a prime.

It is a super-2 number, since 2×105564461343² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105564461295 and 105564461304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105564461243) 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 63 ways as a sum of consecutive naturals, for example, 150590893 + ... + 150591593.

It is an arithmetic number, because the mean of its divisors is an integer number (2473825536).

Almost surely, 2^105564461343 is an apocalyptic number.

105564461343 is a deficient number, since it is larger than the sum of its proper divisors (52760372961).

105564461343 is a wasteful number, since it uses less digits than its factorization.

105564461343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 105564461343 in words is "one hundred five billion, five hundred sixty-four million, four hundred sixty-one thousand, three hundred forty-three".