117105132 has 96 divisors (see below), whose sum is σ = 302400000. Its totient is φ = 35126784.

The previous prime is 117105127. The next prime is 117105133. The reversal of 117105132 is 231501711.

It is a happy number.

It is a super-2 number, since 2×117105132² = 27427223881474848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117105099 and 117105108.

It is not an unprimeable number, because it can be changed into a prime (117105133) 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 31 ways as a sum of consecutive naturals, for example, 588369 + ... + 588567.

It is an arithmetic number, because the mean of its divisors is an integer number (3150000).

Almost surely, 2^117105132 is an apocalyptic number.

117105132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117105132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200000).

117105132 is an abundant number, since it is smaller than the sum of its proper divisors (185294868).

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

117105132 is a wasteful number, since it uses less digits than its factorization.

117105132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 117105132 is about 10821.5124636069. The cubic root of 117105132 is about 489.2437758939.

Adding to 117105132 its reverse (231501711), we get a palindrome (348606843).

The spelling of 117105132 in words is "one hundred seventeen million, one hundred five thousand, one hundred thirty-two".