45101 has 8 divisors (see below), whose sum is σ = 54720. Its totient is φ = 36288.

The previous prime is 45083. The next prime is 45119. The reversal of 45101 is 10154.

45101 = T₁₁₀ + T₁₁₁ + ... + T₁₁₆.

45101 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (45083) and next prime (45119).

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

It is a de Polignac number, because none of the positive numbers 2^k-45101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁴⁵¹⁰¹ is an apocalyptic number.

It is an amenable number.

45101 is a deficient number, since it is larger than the sum of its proper divisors (9619).

45101 is a wasteful number, since it uses less digits than its factorization.

45101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 45101 is about 212.3699602109. The cubic root of 45101 is about 35.5955239922.

Adding to 45101 its reverse (10154), we get a palindrome (55255).

The spelling of 45101 in words is "forty-five thousand, one hundred one".