100680084 has 30 divisors (see below), whose sum is σ = 263198474. Its totient is φ = 33559920.

The previous prime is 100680061. The next prime is 100680089. The reversal of 100680084 is 480086001.

It can be written as a sum of positive squares in only one way, i.e., 65610000 + 35070084 = 8100^2 + 5922^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100680089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 155047 + ... + 155694.

Almost surely, 2^100680084 is an apocalyptic number.

It is an amenable number.

100680084 is an abundant number, since it is smaller than the sum of its proper divisors (162518390).

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

100680084 is a wasteful number, since it uses less digits than its factorization.

100680084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310757 (or 310746 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 100680084 is about 10033.9465814803. The cubic root of 100680084 is about 465.2087304320.

The spelling of 100680084 in words is "one hundred million, six hundred eighty thousand, eighty-four".