100189 has 2 divisors, whose sum is σ = 100190. Its totient is φ = 100188.

The previous prime is 100183. The next prime is 100193. The reversal of 100189 is 981001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71289 + 28900 = 267^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 100189 - 2¹³ = 91997 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50094 + 50095.

It is an arithmetic number, because the mean of its divisors is an integer number (50095).

2¹⁰⁰¹⁸⁹ is an apocalyptic number.

It is an amenable number.

100189 is a deficient number, since it is larger than the sum of its proper divisors (1).

100189 is an equidigital number, since it uses as much as digits as its factorization.

100189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 100189 is about 316.5264601893. The cubic root of 100189 is about 46.4451119426.

It can be divided in two parts, 100 and 189, that added together give a square (289 = 17²).

The spelling of 100189 in words is "one hundred thousand, one hundred eighty-nine".