106751 has 2 divisors, whose sum is σ = 106752. Its totient is φ = 106750.

The previous prime is 106747. The next prime is 106753. The reversal of 106751 is 157601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106751 - 2² = 106747 is a prime.

It is a super-2 number, since 2×106751² = 22791552002, which contains 22 as substring.

Together with 106753, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106751.

It is not a weakly prime, because it can be changed into another prime (106753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53375 + 53376.

It is an arithmetic number, because the mean of its divisors is an integer number (53376).

2¹⁰⁶⁷⁵¹ is an apocalyptic number.

106751 is a deficient number, since it is larger than the sum of its proper divisors (1).

106751 is an equidigital number, since it uses as much as digits as its factorization.

106751 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 106751 is about 326.7277153839. The cubic root of 106751 is about 47.4377392953.

The spelling of 106751 in words is "one hundred six thousand, seven hundred fifty-one".