109832814 has 192 divisors, whose sum is σ = 318689280. Its totient is φ = 27760320.

The previous prime is 109832813. The next prime is 109832857. The reversal of 109832814 is 418238901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109832813) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1066287 + ... + 1066389.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 2^109832814 is an apocalyptic number.

109832814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109832814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159344640).

109832814 is an abundant number, since it is smaller than the sum of its proper divisors (208856466).

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

109832814 is a wasteful number, since it uses less digits than its factorization.

109832814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 109832814 is about 10480.1151711229. The cubic root of 109832814 is about 478.8991176763.

The spelling of 109832814 in words is "one hundred nine million, eight hundred thirty-two thousand, eight hundred fourteen".