101038589 has 2 divisors, whose sum is σ = 101038590. Its totient is φ = 101038588.

The previous prime is 101038573. The next prime is 101038603. The reversal of 101038589 is 985830101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84088900 + 16949689 = 9170^2 + 4117^2 .

It is a cyclic number.

It is not a de Polignac number, because 101038589 - 2⁴ = 101038573 is a prime.

It is a super-2 number, since 2×101038589² = 20417592934221842, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101038489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50519294 + 50519295.

It is an arithmetic number, because the mean of its divisors is an integer number (50519295).

Almost surely, 2^101038589 is an apocalyptic number.

It is an amenable number.

101038589 is a deficient number, since it is larger than the sum of its proper divisors (1).

101038589 is an equidigital number, since it uses as much as digits as its factorization.

101038589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 35.

The square root of 101038589 is about 10051.7953122813. The cubic root of 101038589 is about 465.7602532416.

The spelling of 101038589 in words is "one hundred one million, thirty-eight thousand, five hundred eighty-nine".