100566680 has 64 divisors (see below), whose sum is σ = 235699200. Its totient is φ = 38586240.

The previous prime is 100566673. The next prime is 100566691. The reversal of 100566680 is 86665001.

It is a super-2 number, since 2×100566680² = 20227314252444800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100985 + ... + 101975.

It is an arithmetic number, because the mean of its divisors is an integer number (3682800).

Almost surely, 2^100566680 is an apocalyptic number.

100566680 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 100566680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117849600).

100566680 is an abundant number, since it is smaller than the sum of its proper divisors (135132520).

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

100566680 is a wasteful number, since it uses less digits than its factorization.

100566680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 100566680 is about 10028.2939725559. The cubic root of 100566680 is about 465.0339975914.

The spelling of 100566680 in words is "one hundred million, five hundred sixty-six thousand, six hundred eighty".