100180081 has 3 divisors (see below), whose sum is σ = 100190091. Its totient is φ = 100170072.

The previous prime is 100180079. The next prime is 100180109. The reversal of 100180081 is 180081001.

The square root of 100180081 is 10009.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 180081001 = 10883 ⋅16547.

It can be written as a sum of positive squares in only one way, i.e., 99820081 + 360000 = 9991^2 + 600^2 .

It is not a de Polignac number, because 100180081 - 2¹ = 100180079 is a prime.

It is a super-2 number, since 2×100180081² = 20072097258333122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100180021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5005 + ... + 15013.

It is an arithmetic number, because the mean of its divisors is an integer number (33396697).

Almost surely, 2^100180081 is an apocalyptic number.

100180081 is the 10009-th square number.

100180081 is the 5005-th centered octagonal number.

It is an amenable number.

100180081 is a deficient number, since it is larger than the sum of its proper divisors (10010).

100180081 is an frugal number, since it uses more digits than its factorization.

100180081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20018 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

The cubic root of 100180081 is about 464.4373369337.

Multiplying 100180081 by its product of nonzero digits (64), we get a square (6411525184 = 80072²).

The spelling of 100180081 in words is "one hundred million, one hundred eighty thousand, eighty-one".