105002073404082 has 48 divisors (see below), whose sum is σ = 234656066487960. Its totient is φ = 33908568834816.

The previous prime is 105002073404029. The next prime is 105002073404089. The reversal of 105002073404082 is 280404370200501.

It is a happy number.

105002073404082 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 207 + 3 + 40 + 408 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102342985493841 + 2659087910241 = 10116471^2 + 1630671^2 .

It is a super-2 number, since 2×105002073404082² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105002073404089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338172657 + ... + 338483012.

Almost surely, 2^{105002073404082} is an apocalyptic number.

105002073404082 is an abundant number, since it is smaller than the sum of its proper divisors (129653993083878).

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

105002073404082 is a wasteful number, since it uses less digits than its factorization.

105002073404082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676655947 (or 676655944 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 105002073404082 in words is "one hundred five trillion, two billion, seventy-three million, four hundred four thousand, eighty-two".