105105112522303 has 24 divisors (see below), whose sum is σ = 112546730462400. Its totient is φ = 98075398055040.

The previous prime is 105105112522247. The next prime is 105105112522309. The reversal of 105105112522303 is 303225211501501.

It is a happy number.

It is not a de Polignac number, because 105105112522303 - 2¹³ = 105105112514111 is a prime.

It is a super-2 number, since 2×105105112522303² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105112522309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6698263 + ... + 15971128.

It is an arithmetic number, because the mean of its divisors is an integer number (4689447102600).

Almost surely, 2^{105105112522303} is an apocalyptic number.

105105112522303 is a deficient number, since it is larger than the sum of its proper divisors (7441617940097).

105105112522303 is a wasteful number, since it uses less digits than its factorization.

105105112522303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22669635 (or 22669606 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 105105112522303 in words is "one hundred five trillion, one hundred five billion, one hundred twelve million, five hundred twenty-two thousand, three hundred three".