106763 has 4 divisors (see below), whose sum is σ = 107448. Its totient is φ = 106080.

The previous prime is 106759. The next prime is 106781. The reversal of 106763 is 367601.

106763 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 367601 = 13 ⋅28277.

It is a cyclic number.

It is not a de Polignac number, because 106763 - 2² = 106759 is a prime.

It is a super-3 number, since 3×106763³ = 3650762333810841, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (26862).

2¹⁰⁶⁷⁶³ is an apocalyptic number.

106763 is a deficient number, since it is larger than the sum of its proper divisors (685).

106763 is an equidigital number, since it uses as much as digits as its factorization.

106763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 106763 is about 326.7460787829. The cubic root of 106763 is about 47.4395167386.

The spelling of 106763 in words is "one hundred six thousand, seven hundred sixty-three".