107761 has 2 divisors, whose sum is σ = 107762. Its totient is φ = 107760.

The previous prime is 107747. The next prime is 107773. The reversal of 107761 is 167701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87025 + 20736 = 295^2 + 144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-107761 is a prime.

It is a super-2 number, since 2×107761² = 23224866242, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107761.

It is not a weakly prime, because it can be changed into another prime (107741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53880 + 53881.

It is an arithmetic number, because the mean of its divisors is an integer number (53881).

2¹⁰⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

107761 is a deficient number, since it is larger than the sum of its proper divisors (1).

107761 is an equidigital number, since it uses as much as digits as its factorization.

107761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 107761 is about 328.2697061868. The cubic root of 107761 is about 47.5868770170.

It can be divided in two parts, 107 and 761, that added together give a palindrome (868).

The spelling of 107761 in words is "one hundred seven thousand, seven hundred sixty-one".