106756 has 12 divisors (see below), whose sum is σ = 201292. Its totient is φ = 49248.

The previous prime is 106753. The next prime is 106759. The reversal of 106756 is 657601.

It is an interprime number because it is at equal distance from previous prime (106753) and next prime (106759).

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 72900 = 184^2 + 270^2 .

It is a super-2 number, since 2×106756² = 22793687072, 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 106756.

It is not an unprimeable number, because it can be changed into a prime (106751) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 975 + ... + 1078.

2¹⁰⁶⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

106756 is a deficient number, since it is larger than the sum of its proper divisors (94536).

106756 is a wasteful number, since it uses less digits than its factorization.

106756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2068 counting only the distinct ones).

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

The square root of 106756 is about 326.7353669256. The cubic root of 106756 is about 47.4384799128.

The spelling of 106756 in words is "one hundred six thousand, seven hundred fifty-six".