117727104 has 128 divisors (see below), whose sum is σ = 348986880. Its totient is φ = 34856960.

The previous prime is 117727073. The next prime is 117727111. The reversal of 117727104 is 401727711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 198232 + ... + 198824.

It is an arithmetic number, because the mean of its divisors is an integer number (2726460).

Almost surely, 2^117727104 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 117727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174493440).

117727104 is an abundant number, since it is smaller than the sum of its proper divisors (231259776).

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

117727104 is a wasteful number, since it uses less digits than its factorization.

117727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 30.

The square root of 117727104 is about 10850.2121638243. The cubic root of 117727104 is about 490.1084086112.

The spelling of 117727104 in words is "one hundred seventeen million, seven hundred twenty-seven thousand, one hundred four".