108513249873600 has 672 divisors, whose sum is σ = 421263469912320. Its totient is φ = 24107968512000.

The previous prime is 108513249873577. The next prime is 108513249873617. The reversal of 108513249873600 is 6378942315801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94840930 + ... + 95978270.

It is an arithmetic number, because the mean of its divisors is an integer number (626880163560).

It is a 1-persistent number, because it is pandigital, but 2⋅108513249873600 = 217026499747200 is not.

Almost surely, 2^{108513249873600} is an apocalyptic number.

108513249873600 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 108513249873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210631734956160).

108513249873600 is an abundant number, since it is smaller than the sum of its proper divisors (312750220038720).

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

108513249873600 is a wasteful number, since it uses less digits than its factorization.

108513249873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137529 (or 1137514 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 108513249873600 in words is "one hundred eight trillion, five hundred thirteen billion, two hundred forty-nine million, eight hundred seventy-three thousand, six hundred".