108772087680 has 768 divisors, whose sum is σ = 414615801600. Its totient is φ = 27172454400.

The previous prime is 108772087679. The next prime is 108772087687. The reversal of 108772087680 is 86780277801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108772087687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 387089140 + ... + 387089420.

It is an arithmetic number, because the mean of its divisors is an integer number (539864325).

Almost surely, 2^108772087680 is an apocalyptic number.

108772087680 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 108772087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207307900800).

108772087680 is an abundant number, since it is smaller than the sum of its proper divisors (305843713920).

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

108772087680 is a wasteful number, since it uses less digits than its factorization.

108772087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 108772087680 in words is "one hundred eight billion, seven hundred seventy-two million, eighty-seven thousand, six hundred eighty".