108542730240 has 672 divisors, whose sum is σ = 449135357760. Its totient is φ = 24797380608.

The previous prime is 108542730223. The next prime is 108542730251. The reversal of 108542730240 is 42037245801.

It is a happy number.

108542730240 is a `hidden beast` number, since 1 + 0 + 8 + 542 + 73 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 108542730195 and 108542730204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54189079 + ... + 54191081.

Almost surely, 2^108542730240 is an apocalyptic number.

108542730240 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 108542730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224567678880).

108542730240 is an abundant number, since it is smaller than the sum of its proper divisors (340592627520).

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

108542730240 is an equidigital number, since it uses as much as digits as its factorization.

108542730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 108542730240 in words is "one hundred eight billion, five hundred forty-two million, seven hundred thirty thousand, two hundred forty".