109688832 has 144 divisors (see below), whose sum is σ = 346240440. Its totient is φ = 33177600.

The previous prime is 109688827. The next prime is 109688837. The reversal of 109688832 is 238886901.

It is an interprime number because it is at equal distance from previous prime (109688827) and next prime (109688837).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109688837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202482 + ... + 203022.

Almost surely, 2^109688832 is an apocalyptic number.

109688832 is a gapful number since it is divisible by the number (12) 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 109688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173120220).

109688832 is an abundant number, since it is smaller than the sum of its proper divisors (236551608).

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

109688832 is a wasteful number, since it uses less digits than its factorization.

109688832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 109688832 is about 10473.2436236345. The cubic root of 109688832 is about 478.6897600695.

The spelling of 109688832 in words is "one hundred nine million, six hundred eighty-eight thousand, eight hundred thirty-two".