101876286664 has 64 divisors (see below), whose sum is σ = 206116410240. Its totient is φ = 47090334720.

The previous prime is 101876286643. The next prime is 101876286679. The reversal of 101876286664 is 466682678101.

101876286664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575424 + ... + 731344.

It is an arithmetic number, because the mean of its divisors is an integer number (3220568910).

Almost surely, 2^101876286664 is an apocalyptic number.

It is an amenable number.

101876286664 is an abundant number, since it is smaller than the sum of its proper divisors (104240123576).

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

101876286664 is a wasteful number, since it uses less digits than its factorization.

101876286664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156070 (or 156066 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 101876286664 in words is "one hundred one billion, eight hundred seventy-six million, two hundred eighty-six thousand, six hundred sixty-four".