101633286006 has 180 divisors, whose sum is σ = 276945145092. Its totient is φ = 27774408816.

The previous prime is 101633285981. The next prime is 101633286019. The reversal of 101633286006 is 600682336101.

101633286006 is a `hidden beast` number, since 1 + 0 + 16 + 3 + 32 + 8 + 600 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4187101 + ... + 4211303.

Almost surely, 2^101633286006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101633286006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138472572546).

101633286006 is an abundant number, since it is smaller than the sum of its proper divisors (175311859086).

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

101633286006 is a wasteful number, since it uses less digits than its factorization.

101633286006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24277 (or 24238 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 101633286006 in words is "one hundred one billion, six hundred thirty-three million, two hundred eighty-six thousand, six".