100082627440641 has 32 divisors (see below), whose sum is σ = 148398446926080. Its totient is φ = 66664226371968.

The previous prime is 100082627440633. The next prime is 100082627440711. The reversal of 100082627440641 is 146044726280001.

100082627440641 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 82 + 62 + 74 + 406 + 41 = 666.

It is not a de Polignac number, because 100082627440641 - 2³ = 100082627440633 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100082627440141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149398860 + ... + 150067266.

It is an arithmetic number, because the mean of its divisors is an integer number (4637451466440).

Almost surely, 2^{100082627440641} is an apocalyptic number.

It is an amenable number.

100082627440641 is a deficient number, since it is larger than the sum of its proper divisors (48315819485439).

100082627440641 is a wasteful number, since it uses less digits than its factorization.

100082627440641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673190 (or 673184 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 100082627440641 in words is "one hundred trillion, eighty-two billion, six hundred twenty-seven million, four hundred forty thousand, six hundred forty-one".