100261 has 4 divisors (see below), whose sum is σ = 114592. Its totient is φ = 85932.

The previous prime is 100237. The next prime is 100267. The reversal of 100261 is 162001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 162001 = 7 ⋅23143.

It is not a de Polignac number, because 100261 - 2¹¹ = 98213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100267) 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, 7155 + ... + 7168.

It is an arithmetic number, because the mean of its divisors is an integer number (28648).

2¹⁰⁰²⁶¹ is an apocalyptic number.

It is an amenable number.

100261 is a deficient number, since it is larger than the sum of its proper divisors (14331).

100261 is an equidigital number, since it uses as much as digits as its factorization.

100261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14330.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100261 is about 316.6401743304. The cubic root of 100261 is about 46.4562350776.

Adding to 100261 its reverse (162001), we get a palindrome (262262).

It can be divided in two parts, 100 and 261, that added together give a square (361 = 19²).

The spelling of 100261 in words is "one hundred thousand, two hundred sixty-one".