109585341 has 48 divisors (see below), whose sum is σ = 170846208. Its totient is φ = 67564800.

The previous prime is 109585339. The next prime is 109585373. The reversal of 109585341 is 143585901.

It is not a de Polignac number, because 109585341 - 2¹ = 109585339 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 109585296 and 109585305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109585321) 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 47 ways as a sum of consecutive naturals, for example, 799825 + ... + 799961.

It is an arithmetic number, because the mean of its divisors is an integer number (3559296).

Almost surely, 2^109585341 is an apocalyptic number.

It is an amenable number.

109585341 is a deficient number, since it is larger than the sum of its proper divisors (61260867).

109585341 is a wasteful number, since it uses less digits than its factorization.

109585341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 109585341 is about 10468.3017247307. The cubic root of 109585341 is about 478.5391653689.

It can be divided in two parts, 1095 and 85341, that added together give a square (86436 = 294²).

The spelling of 109585341 in words is "one hundred nine million, five hundred eighty-five thousand, three hundred forty-one".