109824768 has 72 divisors (see below), whose sum is σ = 324791600. Its totient is φ = 36605952.

The previous prime is 109824761. The next prime is 109824779. The reversal of 109824768 is 867428901.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×109824768² = 24122959332507648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109824761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1033 + ... + 14856.

Almost surely, 2^109824768 is an apocalyptic number.

109824768 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 109824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162395800).

109824768 is an abundant number, since it is smaller than the sum of its proper divisors (214966832).

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

109824768 is an equidigital number, since it uses as much as digits as its factorization.

109824768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15914 (or 15894 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 109824768 is about 10479.7312942651. The cubic root of 109824768 is about 478.8874231858.

It can be divided in two parts, 109824 and 768, that added together give a cube (110592 = 48³).

The spelling of 109824768 in words is "one hundred nine million, eight hundred twenty-four thousand, seven hundred sixty-eight".