100891589 has 2 divisors, whose sum is σ = 100891590. Its totient is φ = 100891588.

The previous prime is 100891541. The next prime is 100891591. The reversal of 100891589 is 985198001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97022500 + 3869089 = 9850^2 + 1967^2 .

It is a cyclic number.

It is not a de Polignac number, because 100891589 - 2²⁰ = 99843013 is a prime.

It is a super-2 number, since 2×100891589² = 20358225461889842, which contains 22 as substring.

Together with 100891591, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100891789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50445794 + 50445795.

It is an arithmetic number, because the mean of its divisors is an integer number (50445795).

Almost surely, 2^100891589 is an apocalyptic number.

It is an amenable number.

100891589 is a deficient number, since it is larger than the sum of its proper divisors (1).

100891589 is an equidigital number, since it uses as much as digits as its factorization.

100891589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 41.

The square root of 100891589 is about 10044.4805241486. The cubic root of 100891589 is about 465.5342670166.

The spelling of 100891589 in words is "one hundred million, eight hundred ninety-one thousand, five hundred eighty-nine".