106257 has 4 divisors (see below), whose sum is σ = 141680. Its totient is φ = 70836.

The previous prime is 106243. The next prime is 106261. The reversal of 106257 is 752601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 752601 = 3 ⋅250867.

It is not a de Polignac number, because 106257 - 2⁷ = 106129 is a prime.

It is a super-2 number, since 2×106257² = 22581100098, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106257.

It is not an unprimeable number, because it can be changed into a prime (106207) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17707 + ... + 17712.

It is an arithmetic number, because the mean of its divisors is an integer number (35420).

2¹⁰⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

106257 is a deficient number, since it is larger than the sum of its proper divisors (35423).

106257 is an equidigital number, since it uses as much as digits as its factorization.

106257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35422.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 106257 is about 325.9708575931. The cubic root of 106257 is about 47.3644519741.

Adding to 106257 its reverse (752601), we get a palindrome (858858).

It can be divided in two parts, 106 and 257, that added together give a palindrome (363).

The spelling of 106257 in words is "one hundred six thousand, two hundred fifty-seven".