101664860814 has 48 divisors (see below), whose sum is σ = 240321070080. Its totient is φ = 30804673680.

The previous prime is 101664860789. The next prime is 101664860819. The reversal of 101664860814 is 418068466101.

101664860814 is a `hidden beast` number, since 1 + 0 + 166 + 486 + 0 + 8 + 1 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101664860814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101664860819) 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, 3240897 + ... + 3272115.

It is an arithmetic number, because the mean of its divisors is an integer number (5006688960).

Almost surely, 2^101664860814 is an apocalyptic number.

101664860814 is an abundant number, since it is smaller than the sum of its proper divisors (138656209266).

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

101664860814 is a wasteful number, since it uses less digits than its factorization.

101664860814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47685 (or 47682 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 101664860814 in words is "one hundred one billion, six hundred sixty-four million, eight hundred sixty thousand, eight hundred fourteen".