106576 has 10 divisors (see below), whose sum is σ = 206522. Its totient is φ = 53280.

The previous prime is 106543. The next prime is 106591. The reversal of 106576 is 675601.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 1600 = 324^2 + 40^2 .

It is a super-2 number, since 2×106576² = 22716887552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3315 + ... + 3346.

2¹⁰⁶⁵⁷⁶ is an apocalyptic number.

106576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106576 is the 175-th centered heptagonal number.

It is an amenable number.

106576 is a deficient number, since it is larger than the sum of its proper divisors (99946).

106576 is an equidigital number, since it uses as much as digits as its factorization.

106576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 106576 is about 326.4597984439. The cubic root of 106576 is about 47.4118030984.

Adding to 106576 its sum of digits (25), we get a palindrome (106601).

The spelling of 106576 in words is "one hundred six thousand, five hundred seventy-six".