105874314074496 has 1280 divisors, whose sum is σ = 361804470128640. Its totient is φ = 30441277440000.

The previous prime is 105874314074489. The next prime is 105874314074513. The reversal of 105874314074496 is 694470413478501.

It is a happy number.

105874314074496 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 7 + 4 + 31 + 40 + 74 + 496 = 666.

It is a super-2 number, since 2×105874314074496² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49450869586 + ... + 49450871726.

It is an arithmetic number, because the mean of its divisors is an integer number (282659742288).

Almost surely, 2^{105874314074496} is an apocalyptic number.

105874314074496 is a gapful number since it is divisible by the number (16) 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 105874314074496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180902235064320).

105874314074496 is an abundant number, since it is smaller than the sum of its proper divisors (255930156054144).

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

105874314074496 is a wasteful number, since it uses less digits than its factorization.

105874314074496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 105874314074496 in words is "one hundred five trillion, eight hundred seventy-four billion, three hundred fourteen million, seventy-four thousand, four hundred ninety-six".