105666372682200 has 768 divisors, whose sum is σ = 399594320755200. Its totient is φ = 25452092160000.

The previous prime is 105666372682163. The next prime is 105666372682279. The reversal of 105666372682200 is 2286273666501.

It is a super-2 number, since 2×105666372682200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30530588470 + ... + 30530591930.

It is an arithmetic number, because the mean of its divisors is an integer number (520305105150).

Almost surely, 2^{105666372682200} is an apocalyptic number.

105666372682200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105666372682200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199797160377600).

105666372682200 is an abundant number, since it is smaller than the sum of its proper divisors (293927948073000).

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

105666372682200 is a wasteful number, since it uses less digits than its factorization.

105666372682200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6641 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 105666372682200 in words is "one hundred five trillion, six hundred sixty-six billion, three hundred seventy-two million, six hundred eighty-two thousand, two hundred".