109214208 has 120 divisors (see below), whose sum is σ = 319335588. Its totient is φ = 35930112.

The previous prime is 109214179. The next prime is 109214213. The reversal of 109214208 is 802412901.

It can be written as a sum of positive squares in 2 ways, for example, as 100641024 + 8573184 = 10032^2 + 2928^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 631210 + ... + 631382.

Almost surely, 2^109214208 is an apocalyptic number.

109214208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667794).

109214208 is an abundant number, since it is smaller than the sum of its proper divisors (210121380).

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

109214208 is a wasteful number, since it uses less digits than its factorization.

109214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 109214208 is about 10450.5601763733. The cubic root of 109214208 is about 477.9983310225.

It can be divided in two parts, 10921 and 4208, that added together give a square (15129 = 123²).

The spelling of 109214208 in words is "one hundred nine million, two hundred fourteen thousand, two hundred eight".