108948167 has 8 divisors (see below), whose sum is σ = 112704000. Its totient is φ = 105207480.

The previous prime is 108948139. The next prime is 108948181. The reversal of 108948167 is 761849801.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 108948167 - 2¹⁰ = 108947143 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108948127) 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 7 ways as a sum of consecutive naturals, for example, 11948 + ... + 18990.

It is an arithmetic number, because the mean of its divisors is an integer number (14088000).

Almost surely, 2^108948167 is an apocalyptic number.

108948167 is a deficient number, since it is larger than the sum of its proper divisors (3755833).

108948167 is an equidigital number, since it uses as much as digits as its factorization.

108948167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7573.

The product of its (nonzero) digits is 96768, while the sum is 44.

The square root of 108948167 is about 10437.8238632389. The cubic root of 108948167 is about 477.6098878149.

The spelling of 108948167 in words is "one hundred eight million, nine hundred forty-eight thousand, one hundred sixty-seven".