105500805 has 16 divisors (see below), whose sum is σ = 170133504. Its totient is φ = 55823040.

The previous prime is 105500777. The next prime is 105500807. The reversal of 105500805 is 508005501.

It is not a de Polignac number, because 105500805 - 2⁶ = 105500741 is a prime.

It is a super-2 number, since 2×105500805² = 22260839711296050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25786 + ... + 29595.

It is an arithmetic number, because the mean of its divisors is an integer number (10633344).

Almost surely, 2^105500805 is an apocalyptic number.

105500805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105500805 is a deficient number, since it is larger than the sum of its proper divisors (64632699).

105500805 is a wasteful number, since it uses less digits than its factorization.

105500805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55516.

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 105500805 is about 10271.3584787992. The cubic root of 105500805 is about 472.5182546627.

The spelling of 105500805 in words is "one hundred five million, five hundred thousand, eight hundred five".