108301639680 has 1008 divisors, whose sum is σ = 433373076864. Its totient is φ = 25798901760.

The previous prime is 108301639651. The next prime is 108301639717. The reversal of 108301639680 is 86936103801.

It is a happy number.

108301639680 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 0 + 1 + 639 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3493601265 + ... + 3493601295.

It is an arithmetic number, because the mean of its divisors is an integer number (429933608).

Almost surely, 2^108301639680 is an apocalyptic number.

108301639680 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 108301639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216686538432).

108301639680 is an abundant number, since it is smaller than the sum of its proper divisors (325071437184).

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

108301639680 is an frugal number, since it uses more digits than its factorization.

108301639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 108301639680 in words is "one hundred eight billion, three hundred one million, six hundred thirty-nine thousand, six hundred eighty".