100080001 has 6 divisors (see below), whose sum is σ = 116419650. Its totient is φ = 85782816.

The previous prime is 100079983. The next prime is 100080031.

100080001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 77422401 + 22657600 = 8799^2 + 4760^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100080001 is a prime.

100080001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100080001.

It is not an unprimeable number, because it can be changed into a prime (100080031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1021176 + ... + 1021273.

It is an arithmetic number, because the mean of its divisors is an integer number (19403275).

Almost surely, 2^100080001 is an apocalyptic number.

It is an amenable number.

100080001 is a deficient number, since it is larger than the sum of its proper divisors (16339649).

100080001 is an equidigital number, since it uses as much as digits as its factorization.

100080001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042463 (or 2042456 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 100080001 is about 10003.9992502999. Note that the first 3 decimals coincide. The cubic root of 100080001 is about 464.2826276177.

The spelling of 100080001 in words is "one hundred million, eighty thousand, one".