101645 has 8 divisors (see below), whose sum is σ = 126360. Its totient is φ = 78400.

The previous prime is 101641. The next prime is 101653. The reversal of 101645 is 546101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26569 + 75076 = 163^2 + 274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101645 - 2² = 101641 is a prime.

It is a super-3 number, since 3×101645³ = 3150498776733375, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (15795).

2¹⁰¹⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

101645 is a deficient number, since it is larger than the sum of its proper divisors (24715).

101645 is an equidigital number, since it uses as much as digits as its factorization.

101645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 101645 is about 318.8181299738. The cubic root of 101645 is about 46.6690191558.

Adding to 101645 its reverse (546101), we get a palindrome (647746).

The spelling of 101645 in words is "one hundred one thousand, six hundred forty-five".