105182339680 has 192 divisors, whose sum is σ = 276649551360. Its totient is φ = 37467443200.

The previous prime is 105182339671. The next prime is 105182339693. The reversal of 105182339680 is 86933281501.

It is a super-2 number, since 2×105182339680² (a number of 23 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 105182339680.

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 31 ways as a sum of consecutive naturals, for example, 32292612 + ... + 32295868.

It is an arithmetic number, because the mean of its divisors is an integer number (1440883080).

Almost surely, 2^105182339680 is an apocalyptic number.

105182339680 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 105182339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138324775680).

105182339680 is an abundant number, since it is smaller than the sum of its proper divisors (171467211680).

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

105182339680 is a wasteful number, since it uses less digits than its factorization.

105182339680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

It can be divided in two parts, 1051823 and 39680, that added together give a triangular number (1091503 = T₁₄₇₇).

The spelling of 105182339680 in words is "one hundred five billion, one hundred eighty-two million, three hundred thirty-nine thousand, six hundred eighty".