101586241 has 3 divisors (see below), whose sum is σ = 101596321. Its totient is φ = 101576162.

The previous prime is 101586227. The next prime is 101586281. The reversal of 101586241 is 142685101.

The square root of 101586241 is 10079.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 142685101 = 13 ⋅10975777.

It is a de Polignac number, because none of the positive numbers 2^k-101586241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101586281) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5040 + ... + 15118.

Almost surely, 2^101586241 is an apocalyptic number.

101586241 is the 10079-th square number.

101586241 is the 5040-th centered octagonal number.

It is an amenable number.

101586241 is a deficient number, since it is larger than the sum of its proper divisors (10080).

101586241 is an frugal number, since it uses more digits than its factorization.

101586241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20158 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The cubic root of 101586241 is about 466.6002460457.

The spelling of 101586241 in words is "one hundred one million, five hundred eighty-six thousand, two hundred forty-one".