109165338 has 48 divisors (see below), whose sum is σ = 246373920. Its totient is φ = 34890912.

The previous prime is 109165307. The next prime is 109165339. The reversal of 109165338 is 833561901.

It is a happy number.

109165338 is a `hidden beast` number, since 109 + 16 + 533 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (109165339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84445 + ... + 85727.

It is an arithmetic number, because the mean of its divisors is an integer number (5132790).

Almost surely, 2^109165338 is an apocalyptic number.

109165338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109165338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123186960).

109165338 is an abundant number, since it is smaller than the sum of its proper divisors (137208582).

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

109165338 is a wasteful number, since it uses less digits than its factorization.

109165338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 109165338 is about 10448.2217625776. The cubic root of 109165338 is about 477.9270238669.

The spelling of 109165338 in words is "one hundred nine million, one hundred sixty-five thousand, three hundred thirty-eight".