108872768160 has 576 divisors, whose sum is σ = 425385481248. Its totient is φ = 25119424512.

The previous prime is 108872768141. The next prime is 108872768171. The reversal of 108872768160 is 61867278801.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 6853852944 + 102018915216 = 82788^2 + 319404^2 .

It is a super-2 number, since 2×108872768160² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 108872768097 and 108872768106.

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, 99608574 + ... + 99609666.

Almost surely, 2^108872768160 is an apocalyptic number.

108872768160 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 108872768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212692740624).

108872768160 is an abundant number, since it is smaller than the sum of its proper divisors (316512713088).

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

108872768160 is a wasteful number, since it uses less digits than its factorization.

108872768160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 108872768160 in words is "one hundred eight billion, eight hundred seventy-two million, seven hundred sixty-eight thousand, one hundred sixty".