108908104423392 has 288 divisors, whose sum is σ = 332999655206400. Its totient is φ = 33654676137984.

The previous prime is 108908104423277. The next prime is 108908104423397. The reversal of 108908104423392 is 293324401809801.

108908104423392 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 0 + 81 + 0 + 442 + 33 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×108908104423392² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108908104423397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1702268908 + ... + 1702332884.

It is an arithmetic number, because the mean of its divisors is an integer number (1156248802800).

Almost surely, 2^{108908104423392} is an apocalyptic number.

108908104423392 is a gapful number since it is divisible by the number (12) 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 108908104423392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166499827603200).

108908104423392 is an abundant number, since it is smaller than the sum of its proper divisors (224091550783008).

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

108908104423392 is a wasteful number, since it uses less digits than its factorization.

108908104423392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70678 (or 70667 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 108908104423392 in words is "one hundred eight trillion, nine hundred eight billion, one hundred four million, four hundred twenty-three thousand, three hundred ninety-two".