109319616 has 168 divisors, whose sum is σ = 377220480. Its totient is φ = 29569536.

The previous prime is 109319611. The next prime is 109319629. The reversal of 109319616 is 616913901.

109319616 is a `hidden beast` number, since 1 + 0 + 9 + 31 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109319611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75895 + ... + 77321.

It is an arithmetic number, because the mean of its divisors is an integer number (2245360).

Almost surely, 2^109319616 is an apocalyptic number.

109319616 is a gapful number since it is divisible by the number (16) 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 109319616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188610240).

109319616 is an abundant number, since it is smaller than the sum of its proper divisors (267900864).

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

109319616 is a wasteful number, since it uses less digits than its factorization.

109319616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 109319616 is about 10455.6021347410. The cubic root of 109319616 is about 478.1520614697.

The spelling of 109319616 in words is "one hundred nine million, three hundred nineteen thousand, six hundred sixteen".