109505 has 12 divisors (see below), whose sum is σ = 145236. Its totient is φ = 79200.

The previous prime is 109481. The next prime is 109507. The reversal of 109505 is 505901.

It can be written as a sum of positive squares in 2 ways, for example, as 14641 + 94864 = 121^2 + 308^2 .

It is not a de Polignac number, because 109505 - 2⁶ = 109441 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109505.

It is not an unprimeable number, because it can be changed into a prime (109507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2¹⁰⁹⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

109505 is a deficient number, since it is larger than the sum of its proper divisors (35731).

109505 is a wasteful number, since it uses less digits than its factorization.

109505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 109505 is about 330.9153970428. The cubic root of 109505 is about 47.8422191955.

The spelling of 109505 in words is "one hundred nine thousand, five hundred five".