108767232000 has 960 divisors, whose sum is σ = 461275476480. Its totient is φ = 24772608000.

The previous prime is 108767231957. The next prime is 108767232031. The reversal of 108767232000 is 232767801.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387071860 + ... + 387072140.

It is an arithmetic number, because the mean of its divisors is an integer number (480495288).

Almost surely, 2^108767232000 is an apocalyptic number.

108767232000 is a gapful number since it is divisible by the number (10) 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 108767232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230637738240).

108767232000 is an abundant number, since it is smaller than the sum of its proper divisors (352508244480).

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

108767232000 is an frugal number, since it uses more digits than its factorization.

108767232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 108767232000 its reverse (232767801), we get a palindrome (108999999801).

The spelling of 108767232000 in words is "one hundred eight billion, seven hundred sixty-seven million, two hundred thirty-two thousand".