109984896 has 192 divisors, whose sum is σ = 378069120. Its totient is φ = 30007296.

The previous prime is 109984871. The next prime is 109984913. The reversal of 109984896 is 698489901.

109984896 = T₂₈₈ + T₂₈₉ + ... + T₈₈₀.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185176 + ... + 185768.

It is an arithmetic number, because the mean of its divisors is an integer number (1969110).

Almost surely, 2^109984896 is an apocalyptic number.

109984896 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 109984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189034560).

109984896 is an abundant number, since it is smaller than the sum of its proper divisors (268084224).

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

109984896 is a wasteful number, since it uses less digits than its factorization.

109984896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 109984896 is about 10487.3684020349. The cubic root of 109984896 is about 479.1200545190.

The spelling of 109984896 in words is "one hundred nine million, nine hundred eighty-four thousand, eight hundred ninety-six".