108768699600 has 960 divisors, whose sum is σ = 429632501760. Its totient is φ = 23180083200.

The previous prime is 108768699527. The next prime is 108768699623. The reversal of 108768699600 is 6996867801.

It is a Cunningham number, because it is equal to 329801²-1.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 413569069 + ... + 413569331.

It is an arithmetic number, because the mean of its divisors is an integer number (447533856).

Almost surely, 2^108768699600 is an apocalyptic number.

108768699600 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 108768699600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214816250880).

108768699600 is an abundant number, since it is smaller than the sum of its proper divisors (320863802160).

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

108768699600 is a wasteful number, since it uses less digits than its factorization.

108768699600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 108768699600 in words is "one hundred eight billion, seven hundred sixty-eight million, six hundred ninety-nine thousand, six hundred".