105410122563 has 8 divisors (see below), whose sum is σ = 141490098000. Its totient is φ = 69801781088.

The previous prime is 105410122507. The next prime is 105410122579. The reversal of 105410122563 is 365221014501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105410122563 is a prime.

It is a super-2 number, since 2×105410122563² (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 105410122563.

It is not an unprimeable number, because it can be changed into a prime (105410122663) 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 7 ways as a sum of consecutive naturals, for example, 117907968 + ... + 117908861.

It is an arithmetic number, because the mean of its divisors is an integer number (17686262250).

Almost surely, 2^105410122563 is an apocalyptic number.

105410122563 is a deficient number, since it is larger than the sum of its proper divisors (36079975437).

105410122563 is a wasteful number, since it uses less digits than its factorization.

105410122563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235816981.

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 105410122563 in words is "one hundred five billion, four hundred ten million, one hundred twenty-two thousand, five hundred sixty-three".