75101 has 8 divisors (see below), whose sum is σ = 83160. Its totient is φ = 67392.

The previous prime is 75083. The next prime is 75109. The reversal of 75101 is 10157.

It can be written as a sum of positive squares in 4 ways, for example, as 12100 + 63001 = 110^2 + 251^2 .

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

It is not a de Polignac number, because 75101 - 2⁶ = 75037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75109) 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, 635 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (10395).

2⁷⁵¹⁰¹ is an apocalyptic number.

It is an amenable number.

75101 is a deficient number, since it is larger than the sum of its proper divisors (8059).

75101 is a wasteful number, since it uses less digits than its factorization.

75101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 75101 is about 274.0456166407. The cubic root of 75101 is about 42.1905551514.

Adding to 75101 its reverse (10157), we get a palindrome (85258).

The spelling of 75101 in words is "seventy-five thousand, one hundred one".