108340233281280 has 6912 divisors, whose sum is σ = 565351170048000. Its totient is φ = 19005190963200.

The previous prime is 108340233281209. The next prime is 108340233281323. The reversal of 108340233281280 is 82182332043801.

108340233281280 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 40 + 2 + 3 + 328 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×108340233281280² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 264890545716 + ... + 264890546124.

It is an arithmetic number, because the mean of its divisors is an integer number (81792704000).

Almost surely, 2^{108340233281280} is an apocalyptic number.

108340233281280 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 108340233281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282675585024000).

108340233281280 is an abundant number, since it is smaller than the sum of its proper divisors (457010936766720).

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

108340233281280 is a wasteful number, since it uses less digits than its factorization.

108340233281280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 108340233281280 in words is "one hundred eight trillion, three hundred forty billion, two hundred thirty-three million, two hundred eighty-one thousand, two hundred eighty".