105005105601 has 32 divisors (see below), whose sum is σ = 161016201216. Its totient is φ = 60276192000.

The previous prime is 105005105581. The next prime is 105005105629. The reversal of 105005105601 is 106501500501.

It is not a de Polignac number, because 105005105601 - 2¹⁵ = 105005072833 is a prime.

It is a super-2 number, since 2×105005105601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005105651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1043880 + ... + 1140041.

It is an arithmetic number, because the mean of its divisors is an integer number (5031756288).

Almost surely, 2^105005105601 is an apocalyptic number.

105005105601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105005105601 is a deficient number, since it is larger than the sum of its proper divisors (56011095615).

105005105601 is a wasteful number, since it uses less digits than its factorization.

105005105601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184013.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 105005105601 in words is "one hundred five billion, five million, one hundred five thousand, six hundred one".