108954380090304 has 672 divisors, whose sum is σ = 386611761070080. Its totient is φ = 29746434567168.

The previous prime is 108954380090299. The next prime is 108954380090321. The reversal of 108954380090304 is 403090083459801.

108954380090304 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 543 + 8 + 0 + 0 + 90 + 3 + 0 + 4 = 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 (54).

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, 2551424217 + ... + 2551466919.

It is an arithmetic number, because the mean of its divisors is an integer number (575315120640).

Almost surely, 2^{108954380090304} is an apocalyptic number.

108954380090304 is a gapful number since it is divisible by the number (14) 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 108954380090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193305880535040).

108954380090304 is an abundant number, since it is smaller than the sum of its proper divisors (277657380979776).

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

108954380090304 is a wasteful number, since it uses less digits than its factorization.

108954380090304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43779 (or 43757 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 108954380090304 in words is "one hundred eight trillion, nine hundred fifty-four billion, three hundred eighty million, ninety thousand, three hundred four".