108038869200 has 720 divisors, whose sum is σ = 415365664896. Its totient is φ = 26873856000.

The previous prime is 108038869199. The next prime is 108038869223. The reversal of 108038869200 is 2968830801.

108038869200 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 388 + 69 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 249512184 + ... + 249512616.

Almost surely, 2^108038869200 is an apocalyptic number.

108038869200 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 108038869200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207682832448).

108038869200 is an abundant number, since it is smaller than the sum of its proper divisors (307326795696).

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

108038869200 is a wasteful number, since it uses less digits than its factorization.

108038869200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 108038869200 in words is "one hundred eight billion, thirty-eight million, eight hundred sixty-nine thousand, two hundred".