106192 has 10 divisors (see below), whose sum is σ = 205778. Its totient is φ = 53088.

The previous prime is 106189. The next prime is 106207. The reversal of 106192 is 291601.

It can be written as a sum of positive squares in only one way, i.e., 59536 + 46656 = 244^2 + 216^2 .

It is a super-2 number, since 2×106192² = 22553481728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3303 + ... + 3334.

2¹⁰⁶¹⁹² is an apocalyptic number.

It is an amenable number.

106192 is a deficient number, since it is larger than the sum of its proper divisors (99586).

106192 is an equidigital number, since it uses as much as digits as its factorization.

106192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 106192 is about 325.8711401766. The cubic root of 106192 is about 47.3547920071.

Adding to 106192 its reverse (291601), we get a palindrome (397793).

The spelling of 106192 in words is "one hundred six thousand, one hundred ninety-two".