100664964545301 has 48 divisors (see below), whose sum is σ = 161474284048896. Its totient is φ = 60040997376768.

The previous prime is 100664964545293. The next prime is 100664964545303. The reversal of 100664964545301 is 103545469466001.

100664964545301 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 6 + 4 + 9 + 64 + 545 + 30 + 1 = 666.

It is not a de Polignac number, because 100664964545301 - 2³ = 100664964545293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100664964545303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88297920 + ... + 89430713.

It is an arithmetic number, because the mean of its divisors is an integer number (3364047584352).

Almost surely, 2^{100664964545301} is an apocalyptic number.

It is an amenable number.

100664964545301 is a deficient number, since it is larger than the sum of its proper divisors (60809319503595).

100664964545301 is a wasteful number, since it uses less digits than its factorization.

100664964545301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177728802 (or 177728799 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 100664964545301 in words is "one hundred trillion, six hundred sixty-four billion, nine hundred sixty-four million, five hundred forty-five thousand, three hundred one".