101599 has 2 divisors, whose sum is σ = 101600. Its totient is φ = 101598.

The previous prime is 101581. The next prime is 101603. The reversal of 101599 is 995101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101599 - 2¹¹ = 99551 is a prime.

It is a plaindrome in base 5 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50799 + 50800.

It is an arithmetic number, because the mean of its divisors is an integer number (50800).

2¹⁰¹⁵⁹⁹ is an apocalyptic number.

101599 is a deficient number, since it is larger than the sum of its proper divisors (1).

101599 is an equidigital number, since it uses as much as digits as its factorization.

101599 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 25.

The square root of 101599 is about 318.7459803668. The cubic root of 101599 is about 46.6619779870.

The spelling of 101599 in words is "one hundred one thousand, five hundred ninety-nine".