108123088320 has 672 divisors, whose sum is σ = 420458822784. Its totient is φ = 25303449600.

The previous prime is 108123088309. The next prime is 108123088331. The reversal of 108123088320 is 23880321801.

108123088320 is a `hidden beast` number, since 10 + 8 + 12 + 308 + 8 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (108123088309) and next prime (108123088331).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 207529660 + ... + 207530180.

It is an arithmetic number, because the mean of its divisors is an integer number (625682772).

Almost surely, 2^108123088320 is an apocalyptic number.

108123088320 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 108123088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210229411392).

108123088320 is an abundant number, since it is smaller than the sum of its proper divisors (312335734464).

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

108123088320 is a wasteful number, since it uses less digits than its factorization.

108123088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 108123088320 in words is "one hundred eight billion, one hundred twenty-three million, eighty-eight thousand, three hundred twenty".