82440984105 has 24 divisors (see below), whose sum is σ = 142908759240. Its totient is φ = 43965123840.

The previous prime is 82440984079. The next prime is 82440984121. The reversal of 82440984105 is 50148904428.

82440984105 is a `hidden beast` number, since 82 + 440 + 98 + 41 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19047312144 + 63393671961 = 138012^2 + 251781^2 .

It is not a de Polignac number, because 82440984105 - 2²² = 82436789801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583845 + ... + 711165.

It is an arithmetic number, because the mean of its divisors is an integer number (5954531635).

Almost surely, 2^82440984105 is an apocalyptic number.

It is an amenable number.

82440984105 is a deficient number, since it is larger than the sum of its proper divisors (60467775135).

82440984105 is a wasteful number, since it uses less digits than its factorization.

82440984105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141721 (or 141718 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 82440984105 in words is "eighty-two billion, four hundred forty million, nine hundred eighty-four thousand, one hundred five".