109827144 has 128 divisors (see below), whose sum is σ = 367104000. Its totient is φ = 29719872.

The previous prime is 109827119. The next prime is 109827161. The reversal of 109827144 is 441728901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109827099 and 109827108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26817 + ... + 30639.

It is an arithmetic number, because the mean of its divisors is an integer number (2868000).

Almost surely, 2^109827144 is an apocalyptic number.

109827144 is a gapful number since it is divisible by the number (14) 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 109827144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183552000).

109827144 is an abundant number, since it is smaller than the sum of its proper divisors (257276856).

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

109827144 is a wasteful number, since it uses less digits than its factorization.

109827144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 109827144 is about 10479.8446553372. The cubic root of 109827144 is about 478.8908766519.

The spelling of 109827144 in words is "one hundred nine million, eight hundred twenty-seven thousand, one hundred forty-four".