101259 has 6 divisors (see below), whose sum is σ = 146276. Its totient is φ = 67500.

The previous prime is 101221. The next prime is 101267. The reversal of 101259 is 952101.

It is not a de Polignac number, because 101259 - 2⁹ = 100747 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101259.

It is not an unprimeable number, because it can be changed into a prime (101209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5617 + ... + 5634.

2¹⁰¹²⁵⁹ is an apocalyptic number.

101259 is a deficient number, since it is larger than the sum of its proper divisors (45017).

101259 is a wasteful number, since it uses less digits than its factorization.

101259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11257 (or 11254 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 101259 is about 318.2121933553. The cubic root of 101259 is about 46.6098685406.

It can be divided in two parts, 10125 and 9, that multiplied together give a cube (91125 = 45³).

The spelling of 101259 in words is "one hundred one thousand, two hundred fifty-nine".