105977446344 has 384 divisors, whose sum is σ = 382068161280. Its totient is φ = 25904609280.

The previous prime is 105977446307. The next prime is 105977446373. The reversal of 105977446344 is 443644779501.

105977446344 is a `hidden beast` number, since 1 + 0 + 597 + 7 + 4 + 4 + 6 + 3 + 44 = 666.

It is a super-2 number, since 2×105977446344² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 11399362 + ... + 11408654.

It is an arithmetic number, because the mean of its divisors is an integer number (994969170).

Almost surely, 2^105977446344 is an apocalyptic number.

105977446344 is a gapful number since it is divisible by the number (14) 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 105977446344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191034080640).

105977446344 is an abundant number, since it is smaller than the sum of its proper divisors (276090714936).

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

105977446344 is a wasteful number, since it uses less digits than its factorization.

105977446344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9362 (or 9333 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 105977446344 in words is "one hundred five billion, nine hundred seventy-seven million, four hundred forty-six thousand, three hundred forty-four".