105865805 has 16 divisors (see below), whose sum is σ = 133585200. Its totient is φ = 80424960.

The previous prime is 105865801. The next prime is 105865807. The reversal of 105865805 is 508568501.

It can be written as a sum of positive squares in 8 ways, for example, as 34175716 + 71690089 = 5846^2 + 8467^2 .

It is not a de Polignac number, because 105865805 - 2² = 105865801 is a prime.

It is a super-2 number, since 2×105865805² = 22415137336596050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105865801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2861 + ... + 14829.

It is an arithmetic number, because the mean of its divisors is an integer number (8349075).

Almost surely, 2^105865805 is an apocalyptic number.

It is an amenable number.

105865805 is a deficient number, since it is larger than the sum of its proper divisors (27719395).

105865805 is a wasteful number, since it uses less digits than its factorization.

105865805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12064.

The product of its (nonzero) digits is 48000, while the sum is 38.

The square root of 105865805 is about 10289.1109917232. The cubic root of 105865805 is about 473.0625495547.

The spelling of 105865805 in words is "one hundred five million, eight hundred sixty-five thousand, eight hundred five".