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106759 is a prime number
BaseRepresentation
bin11010000100000111
312102110001
4122010013
511404014
62142131
7623152
oct320407
9172401
10106759
1173234
1251947
1339793
142ac99
1521974
hex1a107

106759 has 2 divisors, whose sum is σ = 106760. Its totient is φ = 106758.

The previous prime is 106753. The next prime is 106781. The reversal of 106759 is 957601.

It is a happy number.

106759 is nontrivially palindromic in base 13.

It is a weak prime.

It is an emirp because it is prime and its reverse (957601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106759 - 23 = 106751 is a prime.

It is a super-2 number, since 2×1067592 = 22794968162, which contains 22 as substring.

It is a congruent number.

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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53379 + 53380.

It is an arithmetic number, because the mean of its divisors is an integer number (53380).

2106759 is an apocalyptic number.

106759 is a deficient number, since it is larger than the sum of its proper divisors (1).

106759 is an equidigital number, since it uses as much as digits as its factorization.

106759 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 106759 is about 326.7399577646. The cubic root of 106759 is about 47.4389242723.

The spelling of 106759 in words is "one hundred six thousand, seven hundred fifty-nine".