109392032381328 has 100 divisors (see below), whose sum is σ = 327529943808540. Its totient is φ = 35206631099136.

The previous prime is 109392032381287. The next prime is 109392032381341. The reversal of 109392032381328 is 823183230293901.

109392032381328 is a `hidden beast` number, since 1 + 0 + 9 + 39 + 203 + 2 + 3 + 81 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19743554730384 + 89648477650944 = 4443372^2 + 9468288^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1455262975 + ... + 1455338142.

Almost surely, 2^{109392032381328} is an apocalyptic number.

109392032381328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109392032381328 is an abundant number, since it is smaller than the sum of its proper divisors (218137911427212).

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

109392032381328 is a wasteful number, since it uses less digits than its factorization.

109392032381328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910601166 (or 2910601151 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 109392032381328 in words is "one hundred nine trillion, three hundred ninety-two billion, thirty-two million, three hundred eighty-one thousand, three hundred twenty-eight".