109824066 has 128 divisors (see below), whose sum is σ = 288921600. Its totient is φ = 30559680.

The previous prime is 109824061. The next prime is 109824083. The reversal of 109824066 is 660428901.

It is a super-2 number, since 2×109824066² = 24122650945544712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109824066.

It is not an unprimeable number, because it can be changed into a prime (109824061) 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 63 ways as a sum of consecutive naturals, for example, 417451 + ... + 417713.

It is an arithmetic number, because the mean of its divisors is an integer number (2257200).

Almost surely, 2^109824066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109824066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144460800).

109824066 is an abundant number, since it is smaller than the sum of its proper divisors (179097534).

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

109824066 is a wasteful number, since it uses less digits than its factorization.

109824066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 109824066 is about 10479.6978009864. The cubic root of 109824066 is about 478.8864028341.

The spelling of 109824066 in words is "one hundred nine million, eight hundred twenty-four thousand, sixty-six".