109327284576 has 192 divisors, whose sum is σ = 330026477760. Its totient is φ = 35185950720.

The previous prime is 109327284503. The next prime is 109327284581. The reversal of 109327284576 is 675482723901.

It is a happy number.

109327284576 is a `hidden beast` number, since 10 + 9 + 32 + 7 + 28 + 4 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3420220 + ... + 3452036.

It is an arithmetic number, because the mean of its divisors is an integer number (1718887905).

It is a 1-persistent number, because it is pandigital, but 2⋅109327284576 = 218654569152 is not.

Almost surely, 2^109327284576 is an apocalyptic number.

109327284576 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 109327284576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165013238880).

109327284576 is an abundant number, since it is smaller than the sum of its proper divisors (220699193184).

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

109327284576 is a wasteful number, since it uses less digits than its factorization.

109327284576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31974 (or 31960 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 109327284576 in words is "one hundred nine billion, three hundred twenty-seven million, two hundred eighty-four thousand, five hundred seventy-six".