100272181 has 4 divisors (see below), whose sum is σ = 100465164. Its totient is φ = 100079200.

The previous prime is 100272167. The next prime is 100272187. The reversal of 100272181 is 181272001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 181272001 = 113 ⋅1604177.

It can be written as a sum of positive squares in 2 ways, for example, as 48302500 + 51969681 = 6950^2 + 7209^2 .

It is a cyclic number.

It is not a de Polignac number, because 100272181 - 2¹⁵ = 100239413 is a prime.

It is a super-2 number, since 2×100272181² = 20109020564993522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100272187) 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 3 ways as a sum of consecutive naturals, for example, 95710 + ... + 96751.

It is an arithmetic number, because the mean of its divisors is an integer number (25116291).

Almost surely, 2^100272181 is an apocalyptic number.

It is an amenable number.

100272181 is a deficient number, since it is larger than the sum of its proper divisors (192983).

100272181 is an equidigital number, since it uses as much as digits as its factorization.

100272181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192982.

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 100272181 is about 10013.5998022689. The cubic root of 100272181 is about 464.5796193009.

The spelling of 100272181 in words is "one hundred million, two hundred seventy-two thousand, one hundred eighty-one".