108430375680 has 576 divisors, whose sum is σ = 438042608640. Its totient is φ = 25141248000.

The previous prime is 108430375661. The next prime is 108430375693. The reversal of 108430375680 is 86573034801.

108430375680 is a `hidden beast` number, since 1 + 0 + 84 + 3 + 0 + 3 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8737480 + ... + 8749880.

It is an arithmetic number, because the mean of its divisors is an integer number (760490640).

Almost surely, 2^108430375680 is an apocalyptic number.

108430375680 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 108430375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219021304320).

108430375680 is an abundant number, since it is smaller than the sum of its proper divisors (329612232960).

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

108430375680 is a wasteful number, since it uses less digits than its factorization.

108430375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12465 (or 12445 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 108430375680 in words is "one hundred eight billion, four hundred thirty million, three hundred seventy-five thousand, six hundred eighty".