105685505 has 32 divisors (see below), whose sum is σ = 138879360. Its totient is φ = 76930560.

The previous prime is 105685493. The next prime is 105685507. The reversal of 105685505 is 505586501.

It is not a de Polignac number, because 105685505 - 2⁶ = 105685441 is a prime.

It is a super-2 number, since 2×105685505² = 22338851934210050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105685507) 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, 375965 + ... + 376245.

It is an arithmetic number, because the mean of its divisors is an integer number (4339980).

Almost surely, 2^105685505 is an apocalyptic number.

It is an amenable number.

105685505 is a deficient number, since it is larger than the sum of its proper divisors (33193855).

105685505 is a wasteful number, since it uses less digits than its factorization.

105685505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449.

The product of its (nonzero) digits is 30000, while the sum is 35.

The square root of 105685505 is about 10280.3455681217. The cubic root of 105685505 is about 472.7938394191.

The spelling of 105685505 in words is "one hundred five million, six hundred eighty-five thousand, five hundred five".