109829824 has 56 divisors (see below), whose sum is σ = 237213648. Its totient is φ = 50150400.

The previous prime is 109829813. The next prime is 109829849. The reversal of 109829824 is 428928901.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83379 + ... + 84685.

It is an arithmetic number, because the mean of its divisors is an integer number (4235958).

Almost surely, 2^109829824 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 109829824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118606824).

109829824 is an abundant number, since it is smaller than the sum of its proper divisors (127383824).

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

109829824 is a wasteful number, since it uses less digits than its factorization.

109829824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 109829824 is about 10479.9725190479. The cubic root of 109829824 is about 478.8947719157.

The spelling of 109829824 in words is "one hundred nine million, eight hundred twenty-nine thousand, eight hundred twenty-four".