109182001000 has 64 divisors (see below), whose sum is σ = 255670506000. Its totient is φ = 43641241600.

The previous prime is 109182000973. The next prime is 109182001003. The reversal of 109182001000 is 100281901.

109182001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 24231903556 + 84950097444 = 155666^2 + 291462^2 .

It is not an unprimeable number, because it can be changed into a prime (109182001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1370256 + ... + 1447744.

Almost surely, 2^109182001000 is an apocalyptic number.

109182001000 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 109182001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127835253000).

109182001000 is an abundant number, since it is smaller than the sum of its proper divisors (146488505000).

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

109182001000 is a wasteful number, since it uses less digits than its factorization.

109182001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78919 (or 78905 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 109182001000 its reverse (100281901), we get a palindrome (109282282901).

The spelling of 109182001000 in words is "one hundred nine billion, one hundred eighty-two million, one thousand".