109216135004340 has 768 divisors, whose sum is σ = 388373078016000. Its totient is φ = 22318422884352.

The previous prime is 109216135004329. The next prime is 109216135004359. The reversal of 109216135004340 is 43400531612901.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23543031741 + ... + 23543036379.

It is an arithmetic number, because the mean of its divisors is an integer number (505694112000).

Almost surely, 2^{109216135004340} is an apocalyptic number.

109216135004340 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 109216135004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194186539008000).

109216135004340 is an abundant number, since it is smaller than the sum of its proper divisors (279156943011660).

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

109216135004340 is a wasteful number, since it uses less digits than its factorization.

109216135004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5536 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 109216135004340 in words is "one hundred nine trillion, two hundred sixteen billion, one hundred thirty-five million, four thousand, three hundred forty".