106146 has 12 divisors (see below), whose sum is σ = 230022. Its totient is φ = 35376.

The previous prime is 106129. The next prime is 106163. The reversal of 106146 is 641601.

106146 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (106129) and next prime (106163).

It can be written as a sum of positive squares in only one way, i.e., 68121 + 38025 = 261^2 + 195^2 .

It is a super-2 number, since 2×106146² = 22533946632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5897 = 106146 / (1 + 0 + 6 + 1 + 4 + 6).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106146.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2931 + ... + 2966.

2¹⁰⁶¹⁴⁶ is an apocalyptic number.

106146 is an abundant number, since it is smaller than the sum of its proper divisors (123876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106146 is a wasteful number, since it uses less digits than its factorization.

106146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106146 is about 325.8005524857. The cubic root of 106146 is about 47.3479533405.

Adding to 106146 its reverse (641601), we get a palindrome (747747).

It can be divided in two parts, 106 and 146, that added together give a palindrome (252).

The spelling of 106146 in words is "one hundred six thousand, one hundred forty-six".