105265605 has 16 divisors (see below), whose sum is σ = 177289920. Its totient is φ = 53186688.

The previous prime is 105265603. The next prime is 105265609. The reversal of 105265605 is 506562501.

It is not a de Polignac number, because 105265605 - 2¹ = 105265603 is a prime.

It is a super-2 number, since 2×105265605² = 22161695192032050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105265603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184392 + ... + 184961.

It is an arithmetic number, because the mean of its divisors is an integer number (11080620).

Almost surely, 2^105265605 is an apocalyptic number.

105265605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105265605 is a deficient number, since it is larger than the sum of its proper divisors (72024315).

105265605 is a wasteful number, since it uses less digits than its factorization.

105265605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369380.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 105265605 is about 10259.9027773171. The cubic root of 105265605 is about 472.1668545516.

The spelling of 105265605 in words is "one hundred five million, two hundred sixty-five thousand, six hundred five".