105807746205 has 64 divisors (see below), whose sum is σ = 215055544320. Its totient is φ = 48351014208.

The previous prime is 105807746129. The next prime is 105807746251. The reversal of 105807746205 is 502647708501.

105807746205 is a `hidden beast` number, since 1 + 0 + 580 + 7 + 7 + 4 + 62 + 0 + 5 = 666.

It is not a de Polignac number, because 105807746205 - 2⁸ = 105807745949 is a prime.

It is a super-2 number, since 2×105807746205² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2666944 + ... + 2706326.

It is an arithmetic number, because the mean of its divisors is an integer number (3360242880).

Almost surely, 2^105807746205 is an apocalyptic number.

105807746205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105807746205 is an abundant number, since it is smaller than the sum of its proper divisors (109247798115).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105807746205 is a wasteful number, since it uses less digits than its factorization.

105807746205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42247 (or 42241 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 105807746205 in words is "one hundred five billion, eight hundred seven million, seven hundred forty-six thousand, two hundred five".