100082106 has 12 divisors (see below), whose sum is σ = 216844602. Its totient is φ = 33360696.

The previous prime is 100082093. The next prime is 100082123. The reversal of 100082106 is 601280001.

It can be written as a sum of positive squares in only one way, i.e., 83557881 + 16524225 = 9141^2 + 4065^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5560117 = 100082106 / (1 + 0 + 0 + 0 + 8 + 2 + 1 + 0 + 6).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2780041 + ... + 2780076.

Almost surely, 2^100082106 is an apocalyptic number.

100082106 is an abundant number, since it is smaller than the sum of its proper divisors (116762496).

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

100082106 is a wasteful number, since it uses less digits than its factorization.

100082106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560125 (or 5560122 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100082106 is about 10004.1044576714. The cubic root of 100082106 is about 464.2858827072.

The spelling of 100082106 in words is "one hundred million, eighty-two thousand, one hundred six".