117666105 has 32 divisors (see below), whose sum is σ = 198108288. Its totient is φ = 59558400.

The previous prime is 117666097. The next prime is 117666121. The reversal of 117666105 is 501666711.

It is not a de Polignac number, because 117666105 - 2³ = 117666097 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 20170 + ... + 25340.

It is an arithmetic number, because the mean of its divisors is an integer number (6190884).

Almost surely, 2^117666105 is an apocalyptic number.

117666105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117666105 is a deficient number, since it is larger than the sum of its proper divisors (80442183).

117666105 is a wasteful number, since it uses less digits than its factorization.

117666105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 117666105 is about 10847.4008407544. The cubic root of 117666105 is about 490.0237458991.

It can be divided in two parts, 11766 and 6105, that added together give a palindrome (17871).

The spelling of 117666105 in words is "one hundred seventeen million, six hundred sixty-six thousand, one hundred five".