108342024775344 has 280 divisors, whose sum is σ = 316918202730000. Its totient is φ = 35862472189440.

The previous prime is 108342024775333. The next prime is 108342024775357. The reversal of 108342024775344 is 443577420243801.

108342024775344 is a `hidden beast` number, since 1 + 0 + 8 + 34 + 2 + 0 + 2 + 4 + 77 + 534 + 4 = 666.

It is a super-2 number, since 2×108342024775344² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12076912779 + ... + 12076921749.

Almost surely, 2^{108342024775344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108342024775344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158459101365000).

108342024775344 is an abundant number, since it is smaller than the sum of its proper divisors (208576177954656).

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

108342024775344 is an equidigital number, since it uses as much as digits as its factorization.

108342024775344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16095 (or 16074 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 108342024775344 in words is "one hundred eight trillion, three hundred forty-two billion, twenty-four million, seven hundred seventy-five thousand, three hundred forty-four".