105156589 has 2 divisors, whose sum is σ = 105156590. Its totient is φ = 105156588.

The previous prime is 105156547. The next prime is 105156599. The reversal of 105156589 is 985651501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91355364 + 13801225 = 9558^2 + 3715^2 .

It is a cyclic number.

It is not a de Polignac number, because 105156589 - 2¹⁷ = 105025517 is a prime.

It is a super-2 number, since 2×105156589² = 22115816420229842, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105156539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52578294 + 52578295.

It is an arithmetic number, because the mean of its divisors is an integer number (52578295).

Almost surely, 2^105156589 is an apocalyptic number.

It is an amenable number.

105156589 is a deficient number, since it is larger than the sum of its proper divisors (1).

105156589 is an equidigital number, since it uses as much as digits as its factorization.

105156589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 40.

The square root of 105156589 is about 10254.5886801958. The cubic root of 105156589 is about 472.0038018582.

The spelling of 105156589 in words is "one hundred five million, one hundred fifty-six thousand, five hundred eighty-nine".