108005675375360 has 432 divisors, whose sum is σ = 321933280080384. Its totient is φ = 34492916957184.

The previous prime is 108005675375347. The next prime is 108005675375369. The reversal of 108005675375360 is 63573576500801.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 108005675375296 and 108005675375305.

It is not an unprimeable number, because it can be changed into a prime (108005675375369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102903137 + ... + 103947423.

It is an arithmetic number, because the mean of its divisors is an integer number (745215926112).

Almost surely, 2^{108005675375360} is an apocalyptic number.

108005675375360 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 108005675375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160966640040192).

108005675375360 is an abundant number, since it is smaller than the sum of its proper divisors (213927604705024).

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

108005675375360 is a wasteful number, since it uses less digits than its factorization.

108005675375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044436 (or 1044415 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 56.

The spelling of 108005675375360 in words is "one hundred eight trillion, five billion, six hundred seventy-five million, three hundred seventy-five thousand, three hundred sixty".