105845037805 has 32 divisors (see below), whose sum is σ = 140088172896. Its totient is φ = 76289900544.

The previous prime is 105845037803. The next prime is 105845037811. The reversal of 105845037805 is 508730548501.

It can be written as a sum of positive squares in 16 ways, for example, as 26358821316 + 79486216489 = 162354^2 + 281933^2 .

It is not a de Polignac number, because 105845037805 - 2¹ = 105845037803 is a prime.

It is a super-2 number, since 2×105845037805² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105845037803) 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, 585289 + ... + 744481.

It is an arithmetic number, because the mean of its divisors is an integer number (4377755403).

Almost surely, 2^105845037805 is an apocalyptic number.

It is an amenable number.

105845037805 is a deficient number, since it is larger than the sum of its proper divisors (34243135091).

105845037805 is a wasteful number, since it uses less digits than its factorization.

105845037805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159457.

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 105845037805 in words is "one hundred five billion, eight hundred forty-five million, thirty-seven thousand, eight hundred five".