108238069200 has 240 divisors, whose sum is σ = 355835082240. Its totient is φ = 28108899840.

The previous prime is 108238069183. The next prime is 108238069211. The reversal of 108238069200 is 2960832801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18521479 + ... + 18527321.

It is an arithmetic number, because the mean of its divisors is an integer number (1482646176).

Almost surely, 2^108238069200 is an apocalyptic number.

108238069200 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 108238069200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177917541120).

108238069200 is an abundant number, since it is smaller than the sum of its proper divisors (247597013040).

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

108238069200 is a wasteful number, since it uses less digits than its factorization.

108238069200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 108238069200 in words is "one hundred eight billion, two hundred thirty-eight million, sixty-nine thousand, two hundred".