109955538191104 has 144 divisors (see below), whose sum is σ = 225457945219584. Its totient is φ = 53491073126400.

The previous prime is 109955538191033. The next prime is 109955538191111. The reversal of 109955538191104 is 401191835559901.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3098106799 + ... + 3098142289.

It is an arithmetic number, because the mean of its divisors is an integer number (1565680175136).

Almost surely, 2^{109955538191104} 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 109955538191104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112728972609792).

109955538191104 is an abundant number, since it is smaller than the sum of its proper divisors (115502407028480).

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

109955538191104 is an equidigital number, since it uses as much as digits as its factorization.

109955538191104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36634 (or 36620 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 61.

The spelling of 109955538191104 in words is "one hundred nine trillion, nine hundred fifty-five billion, five hundred thirty-eight million, one hundred ninety-one thousand, one hundred four".