109061968 has 60 divisors (see below), whose sum is σ = 224962164. Its totient is φ = 51187200.

The previous prime is 109061947. The next prime is 109061983. The reversal of 109061968 is 869160901.

It can be written as a sum of positive squares in 2 ways, for example, as 49956624 + 59105344 = 7068^2 + 7688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 109061968.

It is a congruent number.

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, 630330 + ... + 630502.

Almost surely, 2^109061968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109061968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112481082).

109061968 is an abundant number, since it is smaller than the sum of its proper divisors (115900196).

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

109061968 is a wasteful number, since it uses less digits than its factorization.

109061968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 109061968 is about 10443.2738161938. The cubic root of 109061968 is about 477.7761245701.

The spelling of 109061968 in words is "one hundred nine million, sixty-one thousand, nine hundred sixty-eight".