105808358205 has 48 divisors (see below), whose sum is σ = 201089775744. Its totient is φ = 51040563840.

The previous prime is 105808358197. The next prime is 105808358219. The reversal of 105808358205 is 502853808501.

105808358205 is a `hidden beast` number, since 10 + 5 + 80 + 8 + 358 + 205 = 666.

It is not a de Polignac number, because 105808358205 - 2³ = 105808358197 is a prime.

It is a super-2 number, since 2×105808358205² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445009 + ... + 640038.

It is an arithmetic number, because the mean of its divisors is an integer number (4189370328).

Almost surely, 2^105808358205 is an apocalyptic number.

105808358205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105808358205 is a deficient number, since it is larger than the sum of its proper divisors (95281417539).

105808358205 is a wasteful number, since it uses less digits than its factorization.

105808358205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085266 (or 1085263 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 105808358205 in words is "one hundred five billion, eight hundred eight million, three hundred fifty-eight thousand, two hundred five".