108776079360 has 900 divisors, whose sum is σ = 426629092428. Its totient is φ = 26499612672.

The previous prime is 108776079353. The next prime is 108776079383. The reversal of 108776079360 is 63970677801.

It can be written as a sum of positive squares in 6 ways, for example, as 23829479424 + 84946599936 = 154368^2 + 291456^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 108776079297 and 108776079306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1121402832 + ... + 1121402928.

Almost surely, 2^108776079360 is an apocalyptic number.

108776079360 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 108776079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213314546214).

108776079360 is an abundant number, since it is smaller than the sum of its proper divisors (317853013068).

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

108776079360 is an frugal number, since it uses more digits than its factorization.

108776079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 108776079360 in words is "one hundred eight billion, seven hundred seventy-six million, seventy-nine thousand, three hundred sixty".