109535529074304 has 512 divisors, whose sum is σ = 315370560153600. Its totient is φ = 33578650828800.

The previous prime is 109535529074303. The next prime is 109535529074327. The reversal of 109535529074304 is 403470925535901.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (109535529074303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25827757624 + ... + 25827761864.

It is an arithmetic number, because the mean of its divisors is an integer number (615958125300).

Almost surely, 2^{109535529074304} 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 109535529074304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157685280076800).

109535529074304 is an abundant number, since it is smaller than the sum of its proper divisors (205835031079296).

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

109535529074304 is a wasteful number, since it uses less digits than its factorization.

109535529074304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 57.

The spelling of 109535529074304 in words is "one hundred nine trillion, five hundred thirty-five billion, five hundred twenty-nine million, seventy-four thousand, three hundred four".