105365604205 has 16 divisors (see below), whose sum is σ = 126892381824. Its totient is φ = 83990249280.

The previous prime is 105365604199. The next prime is 105365604217. The reversal of 105365604205 is 502406563501.

It is not a de Polignac number, because 105365604205 - 2¹³ = 105365596013 is a prime.

It is a super-2 number, since 2×105365604205² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4758139 + ... + 4780231.

It is an arithmetic number, because the mean of its divisors is an integer number (7930773864).

Almost surely, 2^105365604205 is an apocalyptic number.

It is an amenable number.

105365604205 is a deficient number, since it is larger than the sum of its proper divisors (21526777619).

105365604205 is a wasteful number, since it uses less digits than its factorization.

105365604205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25476.

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 105365604205 in words is "one hundred five billion, three hundred sixty-five million, six hundred four thousand, two hundred five".