109229735654880 has 192 divisors, whose sum is σ = 363471723014400. Its totient is φ = 27496677519360.

The previous prime is 109229735654867. The next prime is 109229735654933. The reversal of 109229735654880 is 88456537922901.

109229735654880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×109229735654880² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 18748570 + ... + 23874009.

It is an arithmetic number, because the mean of its divisors is an integer number (1893081890700).

It is a 2-persistent number, because it is pandigital, and so is 2⋅109229735654880 = 218459471309760, but 3⋅109229735654880 = 327689206964640 is not.

Almost surely, 2^{109229735654880} is an apocalyptic number.

109229735654880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109229735654880 is an abundant number, since it is smaller than the sum of its proper divisors (254241987359520).

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

109229735654880 is a wasteful number, since it uses less digits than its factorization.

109229735654880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42622897 (or 42622889 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 69.

The spelling of 109229735654880 in words is "one hundred nine trillion, two hundred twenty-nine billion, seven hundred thirty-five million, six hundred fifty-four thousand, eight hundred eighty".