105901 has 4 divisors (see below), whose sum is σ = 106812. Its totient is φ = 104992.

The previous prime is 105899. The next prime is 105907. The reversal of 105901 is 109501.

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: 109501 = 7 ⋅15643.

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 75625 = 174^2 + 275^2 .

It is a cyclic number.

It is not a de Polignac number, because 105901 - 2¹ = 105899 is a prime.

It is a super-2 number, since 2×105901² = 22430043602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105907) 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 in 3 ways as a sum of consecutive naturals, for example, 250 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (26703).

2¹⁰⁵⁹⁰¹ is an apocalyptic number.

It is an amenable number.

105901 is a deficient number, since it is larger than the sum of its proper divisors (911).

105901 is an equidigital number, since it uses as much as digits as its factorization.

105901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910.

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

The square root of 105901 is about 325.4243383645. The cubic root of 105901 is about 47.3114966832.

Subtracting 105901 from its reverse (109501), we obtain a square (3600 = 60²).

The spelling of 105901 in words is "one hundred five thousand, nine hundred one".