108166167200 has 864 divisors, whose sum is σ = 351895477248. Its totient is φ = 32126976000.

The previous prime is 108166167191. The next prime is 108166167227. The reversal of 108166167200 is 2761661801.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 647701517 + ... + 647701683.

It is an arithmetic number, because the mean of its divisors is an integer number (407286432).

Almost surely, 2^108166167200 is an apocalyptic number.

108166167200 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 108166167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175947738624).

108166167200 is an abundant number, since it is smaller than the sum of its proper divisors (243729310048).

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

108166167200 is a wasteful number, since it uses less digits than its factorization.

108166167200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 108166167200 in words is "one hundred eight billion, one hundred sixty-six million, one hundred sixty-seven thousand, two hundred".