100166580 has 144 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 24917760.

The previous prime is 100166579. The next prime is 100166621. The reversal of 100166580 is 85661001.

100166580 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 658 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161511 + ... + 162129.

It is an arithmetic number, because the mean of its divisors is an integer number (2256800).

Almost surely, 2^100166580 is an apocalyptic number.

100166580 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 100166580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

100166580 is an abundant number, since it is smaller than the sum of its proper divisors (224812620).

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

100166580 is a wasteful number, since it uses less digits than its factorization.

100166580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100166580 is about 10008.3255342740. The cubic root of 100166580 is about 464.4164723396.

The spelling of 100166580 in words is "one hundred million, one hundred sixty-six thousand, five hundred eighty".