106813 has 4 divisors (see below), whose sum is σ = 122080. Its totient is φ = 91548.

The previous prime is 106801. The next prime is 106823. The reversal of 106813 is 318601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 106813 - 2⁵ = 106781 is a prime.

It is a super-2 number, since 2×106813² = 22818033938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7623 + ... + 7636.

It is an arithmetic number, because the mean of its divisors is an integer number (30520).

2¹⁰⁶⁸¹³ is an apocalyptic number.

It is an amenable number.

106813 is a deficient number, since it is larger than the sum of its proper divisors (15267).

106813 is an equidigital number, since it uses as much as digits as its factorization.

106813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15266.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 106813 is about 326.8225818391. The cubic root of 106813 is about 47.4469213190.

It can be divided in two parts, 1068 and 13, that added together give a triangular number (1081 = T₄₆).

The spelling of 106813 in words is "one hundred six thousand, eight hundred thirteen".