109204153344 has 1056 divisors, whose sum is σ = 400056509440. Its totient is φ = 29561241600.

The previous prime is 109204153343. The next prime is 109204153391. The reversal of 109204153344 is 443351402901.

109204153344 is a `hidden beast` number, since 109 + 204 + 1 + 5 + 3 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109204153299 and 109204153308.

It is not an unprimeable number, because it can be changed into a prime (109204153343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3522714609 + ... + 3522714639.

Almost surely, 2^109204153344 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 109204153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200028254720).

109204153344 is an abundant number, since it is smaller than the sum of its proper divisors (290852356096).

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

109204153344 is an equidigital number, since it uses as much as digits as its factorization.

109204153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 109204153344 in words is "one hundred nine billion, two hundred four million, one hundred fifty-three thousand, three hundred forty-four".