109219968 has 384 divisors, whose sum is σ = 403185600. Its totient is φ = 28753920.

The previous prime is 109219937. The next prime is 109219973. The reversal of 109219968 is 869912901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6424696 + ... + 6424712.

Almost surely, 2^109219968 is an apocalyptic number.

109219968 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 109219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201592800).

109219968 is an abundant number, since it is smaller than the sum of its proper divisors (293965632).

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

109219968 is a wasteful number, since it uses less digits than its factorization.

109219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 109219968 is about 10450.8357560532. The cubic root of 109219968 is about 478.0067341476.

The spelling of 109219968 in words is "one hundred nine million, two hundred nineteen thousand, nine hundred sixty-eight".