100566368 has 48 divisors (see below), whose sum is σ = 229178880. Its totient is φ = 42546816.

The previous prime is 100566359. The next prime is 100566371. The reversal of 100566368 is 863665001.

It is a super-2 number, since 2×100566368² = 20227188745422848, 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 7 ways as a sum of consecutive naturals, for example, 14855 + ... + 20537.

It is an arithmetic number, because the mean of its divisors is an integer number (4774560).

Almost surely, 2^100566368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100566368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114589440).

100566368 is an abundant number, since it is smaller than the sum of its proper divisors (128612512).

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

100566368 is an equidigital number, since it uses as much as digits as its factorization.

100566368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 100566368 is about 10028.2784165578. The cubic root of 100566368 is about 465.0335166807.

The spelling of 100566368 in words is "one hundred million, five hundred sixty-six thousand, three hundred sixty-eight".