101059 has 4 divisors (see below), whose sum is σ = 115504. Its totient is φ = 86616.

The previous prime is 101051. The next prime is 101063. The reversal of 101059 is 950101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 950101 = 83 ⋅11447.

It is a cyclic number.

It is not a de Polignac number, because 101059 - 2³ = 101051 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7212 + ... + 7225.

It is an arithmetic number, because the mean of its divisors is an integer number (28876).

2¹⁰¹⁰⁵⁹ is an apocalyptic number.

101059 is a deficient number, since it is larger than the sum of its proper divisors (14445).

101059 is an equidigital number, since it uses as much as digits as its factorization.

101059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14444.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 101059 is about 317.8977823137. The cubic root of 101059 is about 46.5791614172.

The spelling of 101059 in words is "one hundred one thousand, fifty-nine".