105105500305 has 16 divisors (see below), whose sum is σ = 137074790160. Its totient is φ = 76904287488.

The previous prime is 105105500281. The next prime is 105105500351. The reversal of 105105500305 is 503005501501.

It can be written as a sum of positive squares in 8 ways, for example, as 3222605824 + 101882894481 = 56768^2 + 319191^2 .

It is a cyclic number.

It is not a de Polignac number, because 105105500305 - 2²⁵ = 105071945873 is a prime.

It is a super-2 number, since 2×105105500305² (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 105105500305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7410382 + ... + 7424551.

It is an arithmetic number, because the mean of its divisors is an integer number (8567174385).

Almost surely, 2^105105500305 is an apocalyptic number.

It is an amenable number.

105105500305 is a deficient number, since it is larger than the sum of its proper divisors (31969289855).

105105500305 is a wasteful number, since it uses less digits than its factorization.

105105500305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14835060.

The product of its (nonzero) digits is 1875, while the sum is 25.

The spelling of 105105500305 in words is "one hundred five billion, one hundred five million, five hundred thousand, three hundred five".