108005850 has 72 divisors (see below), whose sum is σ = 291393180. Its totient is φ = 28680960.

The previous prime is 108005827. The next prime is 108005851. The reversal of 108005850 is 58500801.

108005850 is a `hidden beast` number, since 1 + 0 + 80 + 0 + 585 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4149369 + 103856481 = 2037^2 + 10191^2 .

It is not an unprimeable number, because it can be changed into a prime (108005851) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174742 + ... + 175358.

Almost surely, 2^108005850 is an apocalyptic number.

108005850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108005850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145696590).

108005850 is an abundant number, since it is smaller than the sum of its proper divisors (183387330).

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

108005850 is a wasteful number, since it uses less digits than its factorization.

108005850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 108005850 is about 10392.5862998582. The cubic root of 108005850 is about 476.2289138576.

The spelling of 108005850 in words is "one hundred eight million, five thousand, eight hundred fifty".