108289152 has 192 divisors, whose sum is σ = 335424960. Its totient is φ = 33454080.

The previous prime is 108289147. The next prime is 108289183. The reversal of 108289152 is 251982801.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1616223 + ... + 1616289.

It is an arithmetic number, because the mean of its divisors is an integer number (1747005).

Almost surely, 2^108289152 is an apocalyptic number.

108289152 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 108289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167712480).

108289152 is an abundant number, since it is smaller than the sum of its proper divisors (227135808).

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

108289152 is a wasteful number, since it uses less digits than its factorization.

108289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 108289152 is about 10406.2073782911. The cubic root of 108289152 is about 476.6449370395.

The spelling of 108289152 in words is "one hundred eight million, two hundred eighty-nine thousand, one hundred fifty-two".