109987752 has 128 divisors (see below), whose sum is σ = 331776000. Its totient is φ = 30340800.

The previous prime is 109987747. The next prime is 109987753. The reversal of 109987752 is 257789901.

It is not an unprimeable number, because it can be changed into a prime (109987753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254977 + ... + 255407.

It is an arithmetic number, because the mean of its divisors is an integer number (2592000).

Almost surely, 2^109987752 is an apocalyptic number.

109987752 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 109987752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888000).

109987752 is an abundant number, since it is smaller than the sum of its proper divisors (221788248).

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

109987752 is a wasteful number, since it uses less digits than its factorization.

109987752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 48.

The square root of 109987752 is about 10487.5045649573. The cubic root of 109987752 is about 479.1242016188.

The spelling of 109987752 in words is "one hundred nine million, nine hundred eighty-seven thousand, seven hundred fifty-two".