100686564 has 168 divisors, whose sum is σ = 298939872. Its totient is φ = 29393280.

The previous prime is 100686557. The next prime is 100686569. The reversal of 100686564 is 465686001.

100686564 is a `hidden beast` number, since 10 + 0 + 6 + 86 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100686569) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1379232 + ... + 1379304.

It is an arithmetic number, because the mean of its divisors is an integer number (1779404).

Almost surely, 2^100686564 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 100686564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149469936).

100686564 is an abundant number, since it is smaller than the sum of its proper divisors (198253308).

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

100686564 is a wasteful number, since it uses less digits than its factorization.

100686564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 100686564 is about 10034.2694801366. The cubic root of 100686564 is about 465.2187108498.

The spelling of 100686564 in words is "one hundred million, six hundred eighty-six thousand, five hundred sixty-four".