109287144 has 80 divisors (see below), whose sum is σ = 308056320. Its totient is φ = 36197280.

The previous prime is 109287137. The next prime is 109287149. The reversal of 109287144 is 441782901.

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 = 109287099 and 109287108.

It is not an unprimeable number, because it can be changed into a prime (109287149) 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 19 ways as a sum of consecutive naturals, for example, 123327 + ... + 124209.

It is an arithmetic number, because the mean of its divisors is an integer number (3850704).

Almost surely, 2^109287144 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 109287144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154028160).

109287144 is an abundant number, since it is smaller than the sum of its proper divisors (198769176).

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

109287144 is a wasteful number, since it uses less digits than its factorization.

109287144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1079 counting only the distinct ones).

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

The square root of 109287144 is about 10454.0491676670. The cubic root of 109287144 is about 478.1047137875.

The spelling of 109287144 in words is "one hundred nine million, two hundred eighty-seven thousand, one hundred forty-four".