100820664 has 48 divisors (see below), whose sum is σ = 312065520. Its totient is φ = 28805760.

The previous prime is 100820647. The next prime is 100820677. The reversal of 100820664 is 466028001.

100820664 is a modest number, since divided by 20664 gives 1008 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99517 + ... + 100524.

It is an arithmetic number, because the mean of its divisors is an integer number (6501365).

Almost surely, 2^100820664 is an apocalyptic number.

100820664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100820664 is an abundant number, since it is smaller than the sum of its proper divisors (211244856).

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

100820664 is a wasteful number, since it uses less digits than its factorization.

100820664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200060 (or 200053 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100820664 is about 10040.9493575060. The cubic root of 100820664 is about 465.4251539964.

Adding to 100820664 its reverse (466028001), we get a palindrome (566848665).

The spelling of 100820664 in words is "one hundred million, eight hundred twenty thousand, six hundred sixty-four".