106753 has 2 divisors, whose sum is σ = 106754. Its totient is φ = 106752.

The previous prime is 106751. The next prime is 106759. The reversal of 106753 is 357601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 9409 = 312^2 + 97^2 .

It is a cyclic number.

It is not a de Polignac number, because 106753 - 2¹ = 106751 is a prime.

It is a super-2 number, since 2×106753² = 22792406018, which contains 22 as substring.

Together with 106751, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 53376 + 53377.

It is an arithmetic number, because the mean of its divisors is an integer number (53377).

2¹⁰⁶⁷⁵³ is an apocalyptic number.

It is an amenable number.

106753 is a deficient number, since it is larger than the sum of its proper divisors (1).

106753 is an equidigital number, since it uses as much as digits as its factorization.

106753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 106753 is about 326.7307760221. The cubic root of 106753 is about 47.4380355451.

The spelling of 106753 in words is "one hundred six thousand, seven hundred fifty-three".