108053672100066 has 576 divisors, whose sum is σ = 319643789633280. Its totient is φ = 26933062464000.

The previous prime is 108053672100041. The next prime is 108053672100133. The reversal of 108053672100066 is 660001276350801.

108053672100066 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 536 + 7 + 2 + 100 + 0 + 6 + 6 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 108053672099994 and 108053672100030.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 864705891 + ... + 864830841.

It is an arithmetic number, because the mean of its divisors is an integer number (554937134780).

Almost surely, 2^{108053672100066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108053672100066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159821894816640).

108053672100066 is an abundant number, since it is smaller than the sum of its proper divisors (211590117533214).

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

108053672100066 is a wasteful number, since it uses less digits than its factorization.

108053672100066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125108 (or 125084 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 108053672100066 in words is "one hundred eight trillion, fifty-three billion, six hundred seventy-two million, one hundred thousand, sixty-six".