105375618640896 has 352 divisors, whose sum is σ = 289670145435648. Its totient is φ = 34039324999680.

The previous prime is 105375618640883. The next prime is 105375618640967. The reversal of 105375618640896 is 698046816573501.

It is a super-2 number, since 2×105375618640896² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105375618640896.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19953721776 + ... + 19953727056.

Almost surely, 2^{105375618640896} is an apocalyptic number.

105375618640896 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 105375618640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144835072717824).

105375618640896 is an abundant number, since it is smaller than the sum of its proper divisors (184294526794752).

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

105375618640896 is a wasteful number, since it uses less digits than its factorization.

105375618640896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6687 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 69.

The spelling of 105375618640896 in words is "one hundred five trillion, three hundred seventy-five billion, six hundred eighteen million, six hundred forty thousand, eight hundred ninety-six".