108537385320 has 960 divisors, whose sum is σ = 468020488320. Its totient is φ = 22349343744.

The previous prime is 108537385283. The next prime is 108537385357. The reversal of 108537385320 is 23583735801.

108537385320 is a `hidden beast` number, since 1 + 0 + 8 + 537 + 3 + 85 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (108537385283) and next prime (108537385357).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 88746229 + ... + 88747451.

It is an arithmetic number, because the mean of its divisors is an integer number (487521342).

Almost surely, 2^108537385320 is an apocalyptic number.

108537385320 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 108537385320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234010244160).

108537385320 is an abundant number, since it is smaller than the sum of its proper divisors (359483103000).

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

108537385320 is a wasteful number, since it uses less digits than its factorization.

108537385320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 108537385320 in words is "one hundred eight billion, five hundred thirty-seven million, three hundred eighty-five thousand, three hundred twenty".