75106 has 12 divisors (see below), whose sum is σ = 121878. Its totient is φ = 34592.

The previous prime is 75083. The next prime is 75109. The reversal of 75106 is 60157.

It can be written as a sum of positive squares in only one way, i.e., 55225 + 19881 = 235^2 + 141^2 .

It is a super-2 number, since 2×75106² = 11281822472, which contains 22 as substring.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1575 + ... + 1621.

2⁷⁵¹⁰⁶ is an apocalyptic number.

75106 is a deficient number, since it is larger than the sum of its proper divisors (46772).

75106 is a wasteful number, since it uses less digits than its factorization.

75106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 75106 is about 274.0547390577. The cubic root of 75106 is about 42.1914914376.

It can be divided in two parts, 75 and 106, that added together give a palindrome (181).

The spelling of 75106 in words is "seventy-five thousand, one hundred six".