101845 has 4 divisors (see below), whose sum is σ = 122220. Its totient is φ = 81472.

The previous prime is 101839. The next prime is 101863. The reversal of 101845 is 548101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 548101 = 389 ⋅1409.

It can be written as a sum of positive squares in 2 ways, for example, as 54756 + 47089 = 234^2 + 217^2 .

It is a cyclic number.

It is not a de Polignac number, because 101845 - 2³ = 101837 is a prime.

101845 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10180 + ... + 10189.

It is an arithmetic number, because the mean of its divisors is an integer number (30555).

2¹⁰¹⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

101845 is a deficient number, since it is larger than the sum of its proper divisors (20375).

101845 is an equidigital number, since it uses as much as digits as its factorization.

101845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20374.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 101845 is about 319.1316342828. The cubic root of 101845 is about 46.6996082606.

Adding to 101845 its reverse (548101), we get a palindrome (649946).

It can be divided in two parts, 101 and 845, that added together give a triangular number (946 = T₄₃).

The spelling of 101845 in words is "one hundred one thousand, eight hundred forty-five".