100666160 has 80 divisors (see below), whose sum is σ = 271577856. Its totient is φ = 33986304.

The previous prime is 100666141. The next prime is 100666171. The reversal of 100666160 is 61666001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36179 + ... + 38861.

Almost surely, 2^100666160 is an apocalyptic number.

100666160 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 100666160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135788928).

100666160 is an abundant number, since it is smaller than the sum of its proper divisors (170911696).

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

100666160 is a wasteful number, since it uses less digits than its factorization.

100666160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 100666160 is about 10033.2527128544. The cubic root of 100666160 is about 465.1872834065.

The spelling of 100666160 in words is "one hundred million, six hundred sixty-six thousand, one hundred sixty".