105601105105 has 16 divisors (see below), whose sum is σ = 127416836304. Its totient is φ = 84017479680.

The previous prime is 105601105033. The next prime is 105601105109. The reversal of 105601105105 is 501501106501.

It can be written as a sum of positive squares in 8 ways, for example, as 5825352976 + 99775752129 = 76324^2 + 315873^2 .

It is not a de Polignac number, because 105601105105 - 2⁹ = 105601104593 is a prime.

It is a super-2 number, since 2×105601105105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105601105105.

It is not an unprimeable number, because it can be changed into a prime (105601105109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3533425 + ... + 3563185.

It is an arithmetic number, because the mean of its divisors is an integer number (7963552269).

Almost surely, 2^105601105105 is an apocalyptic number.

It is an amenable number.

105601105105 is a deficient number, since it is larger than the sum of its proper divisors (21815731199).

105601105105 is a wasteful number, since it uses less digits than its factorization.

105601105105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33636.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 105601105105 in words is "one hundred five billion, six hundred one million, one hundred five thousand, one hundred five".