108661152 has 96 divisors (see below), whose sum is σ = 307782720. Its totient is φ = 33454080.

The previous prime is 108661151. The next prime is 108661199. The reversal of 108661152 is 251166801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108661151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 74058 + ... + 75510.

It is an arithmetic number, because the mean of its divisors is an integer number (3206070).

Almost surely, 2^108661152 is an apocalyptic number.

108661152 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 108661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153891360).

108661152 is an abundant number, since it is smaller than the sum of its proper divisors (199121568).

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

108661152 is a wasteful number, since it uses less digits than its factorization.

108661152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 108661152 is about 10424.0660013260. The cubic root of 108661152 is about 477.1901109656.

The spelling of 108661152 in words is "one hundred eight million, six hundred sixty-one thousand, one hundred fifty-two".