109261456111104 has 640 divisors, whose sum is σ = 339865872192000. Its totient is φ = 30844444999680.

The previous prime is 109261456111061. The next prime is 109261456111117. The reversal of 109261456111104 is 401111654162901.

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 63 ways as a sum of consecutive naturals, for example, 4888863322 + ... + 4888885670.

It is an arithmetic number, because the mean of its divisors is an integer number (531040425300).

Almost surely, 2^{109261456111104} 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 109261456111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169932936096000).

109261456111104 is an abundant number, since it is smaller than the sum of its proper divisors (230604416080896).

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

109261456111104 is a wasteful number, since it uses less digits than its factorization.

109261456111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22654 (or 22638 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 109261456111104 in words is "one hundred nine trillion, two hundred sixty-one billion, four hundred fifty-six million, one hundred eleven thousand, one hundred four".