109309968 has 120 divisors (see below), whose sum is σ = 323122176. Its totient is φ = 34444800.

The previous prime is 109309943. The next prime is 109309997. The reversal of 109309968 is 869903901.

It is a super-2 number, since 2×109309968² = 23897338208322048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209548 + ... + 210068.

Almost surely, 2^109309968 is an apocalyptic number.

109309968 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 109309968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161561088).

109309968 is an abundant number, since it is smaller than the sum of its proper divisors (213812208).

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

109309968 is a wasteful number, since it uses less digits than its factorization.

109309968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 109309968 is about 10455.1407451072. The cubic root of 109309968 is about 478.1379946231.

The spelling of 109309968 in words is "one hundred nine million, three hundred nine thousand, nine hundred sixty-eight".