109405312605792 has 72 divisors (see below), whose sum is σ = 355567265975376. Its totient is φ = 31258660743936.

The previous prime is 109405312605791. The next prime is 109405312605821. The reversal of 109405312605792 is 297506213504901.

109405312605792 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 0 + 5 + 3 + 1 + 2 + 60 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109405312605791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27134252103 + ... + 27134256134.

It is an arithmetic number, because the mean of its divisors is an integer number (4938434249658).

Almost surely, 2^{109405312605792} is an apocalyptic number.

109405312605792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109405312605792 is an abundant number, since it is smaller than the sum of its proper divisors (246161953369584).

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

109405312605792 is a wasteful number, since it uses less digits than its factorization.

109405312605792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54268508260 (or 54268508249 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 109405312605792 in words is "one hundred nine trillion, four hundred five billion, three hundred twelve million, six hundred five thousand, seven hundred ninety-two".