109782144 has 96 divisors (see below), whose sum is σ = 318041100. Its totient is φ = 36347904.

The previous prime is 109782137. The next prime is 109782161. The reversal of 109782144 is 441287901.

It can be written as a sum of positive squares in 2 ways, for example, as 108993600 + 788544 = 10440^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 109782099 and 109782108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268212 + ... + 268620.

Almost surely, 2^109782144 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 109782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159020550).

109782144 is an abundant number, since it is smaller than the sum of its proper divisors (208258956).

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

109782144 is a wasteful number, since it uses less digits than its factorization.

109782144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 647 counting only the distinct ones).

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

The square root of 109782144 is about 10477.6974569798. The cubic root of 109782144 is about 478.8254616351.

The spelling of 109782144 in words is "one hundred nine million, seven hundred eighty-two thousand, one hundred forty-four".