109322401216 has 112 divisors (see below), whose sum is σ = 249663752640. Its totient is φ = 46525317120.

The previous prime is 109322401213. The next prime is 109322401231. The reversal of 109322401216 is 612104223901.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109322401213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80324376 + ... + 80325736.

Almost surely, 2^109322401216 is an apocalyptic number.

109322401216 is a gapful number since it is divisible by the number (16) 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 109322401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124831876320).

109322401216 is an abundant number, since it is smaller than the sum of its proper divisors (140341351424).

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

109322401216 is a wasteful number, since it uses less digits than its factorization.

109322401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 109322401216 in words is "one hundred nine billion, three hundred twenty-two million, four hundred one thousand, two hundred sixteen".