109161585 has 24 divisors (see below), whose sum is σ = 203769384. Its totient is φ = 53740800.

The previous prime is 109161553. The next prime is 109161587. The reversal of 109161585 is 585161901.

109161585 is a `hidden beast` number, since 10 + 9 + 1 + 61 + 585 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8520561 + 100641024 = 2919^2 + 10032^2 .

It is not a de Polignac number, because 109161585 - 2⁵ = 109161553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (109161587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92716 + ... + 93885.

It is an arithmetic number, because the mean of its divisors is an integer number (8490391).

Almost surely, 2^109161585 is an apocalyptic number.

109161585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109161585 is a deficient number, since it is larger than the sum of its proper divisors (94607799).

109161585 is a wasteful number, since it uses less digits than its factorization.

109161585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186625 (or 186622 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 109161585 is about 10448.0421610941. The cubic root of 109161585 is about 477.9215469127.

It can be divided in two parts, 109161 and 585, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 109161585 in words is "one hundred nine million, one hundred sixty-one thousand, five hundred eighty-five".