109541965824 has 180 divisors, whose sum is σ = 324180969840. Its totient is φ = 35621437440.

The previous prime is 109541965787. The next prime is 109541965829. The reversal of 109541965824 is 428569145901.

109541965824 is a `hidden beast` number, since 1 + 0 + 9 + 54 + 1 + 9 + 6 + 582 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109541965829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6036637 + ... + 6054755.

It is an arithmetic number, because the mean of its divisors is an integer number (1801005388).

Almost surely, 2^109541965824 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 109541965824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162090484920).

109541965824 is an abundant number, since it is smaller than the sum of its proper divisors (214639004016).

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

109541965824 is an equidigital number, since it uses as much as digits as its factorization.

109541965824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18194 (or 18165 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 109541965824 in words is "one hundred nine billion, five hundred forty-one million, nine hundred sixty-five thousand, eight hundred twenty-four".