109985008 has 60 divisors (see below), whose sum is σ = 249217680. Its totient is φ = 47021184.

The previous prime is 109984999. The next prime is 109985009. The reversal of 109985008 is 800589901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109985009) 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, 268708 + ... + 269116.

It is an arithmetic number, because the mean of its divisors is an integer number (4153628).

Almost surely, 2^109985008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109985008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124608840).

109985008 is an abundant number, since it is smaller than the sum of its proper divisors (139232672).

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

109985008 is an frugal number, since it uses more digits than its factorization.

109985008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The square root of 109985008 is about 10487.3737417906. The cubic root of 109985008 is about 479.1202171517.

The spelling of 109985008 in words is "one hundred nine million, nine hundred eighty-five thousand, eight".