109282000 has 80 divisors (see below), whose sum is σ = 267353424. Its totient is φ = 43200000.

The previous prime is 109281973. The next prime is 109282009. The reversal of 109282000 is 282901.

It can be written as a sum of positive squares in 8 ways, for example, as 13868176 + 95413824 = 3724^2 + 9768^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109282009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201730 + ... + 202270.

Almost surely, 2^109282000 is an apocalyptic number.

109282000 is a gapful number since it is divisible by the number (10) 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 109282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133676712).

109282000 is an abundant number, since it is smaller than the sum of its proper divisors (158071424).

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

109282000 is a wasteful number, since it uses less digits than its factorization.

109282000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 109282000 is about 10453.8031357014. The cubic root of 109282000 is about 478.0972124196.

The spelling of 109282000 in words is "one hundred nine million, two hundred eighty-two thousand".