117105648 has 80 divisors (see below), whose sum is σ = 331693056. Its totient is φ = 35307520.

The previous prime is 117105643. The next prime is 117105649. The reversal of 117105648 is 846501711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117105643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135265 + ... + 136127.

Almost surely, 2^117105648 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 117105648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165846528).

117105648 is an abundant number, since it is smaller than the sum of its proper divisors (214587408).

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

117105648 is a wasteful number, since it uses less digits than its factorization.

117105648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 117105648 is about 10821.5363049800. The cubic root of 117105648 is about 489.2444944773.

The spelling of 117105648 in words is "one hundred seventeen million, one hundred five thousand, six hundred forty-eight".