109980585 has 112 divisors (see below), whose sum is σ = 233569728. Its totient is φ = 48988800.

The previous prime is 109980571. The next prime is 109980587. The reversal of 109980585 is 585089901.

It is not a de Polignac number, because 109980585 - 2¹⁰ = 109979561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 109980585.

It is not an unprimeable number, because it can be changed into a prime (109980587) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 521130 + ... + 521340.

It is an arithmetic number, because the mean of its divisors is an integer number (2085444).

Almost surely, 2^109980585 is an apocalyptic number.

109980585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109980585 is an abundant number, since it is smaller than the sum of its proper divisors (123589143).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109980585 is a wasteful number, since it uses less digits than its factorization.

109980585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 109980585 is about 10487.1628670485. The cubic root of 109980585 is about 479.1137945275.

The spelling of 109980585 in words is "one hundred nine million, nine hundred eighty thousand, five hundred eighty-five".