107077 has 2 divisors, whose sum is σ = 107078. Its totient is φ = 107076.

The previous prime is 107071. The next prime is 107089. The reversal of 107077 is 770701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 25281 = 286^2 + 159^2 .

It is a cyclic number.

It is not a de Polignac number, because 107077 - 2³ = 107069 is a prime.

It is a super-2 number, since 2×107077² = 22930967858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107071) 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, 53538 + 53539.

It is an arithmetic number, because the mean of its divisors is an integer number (53539).

2¹⁰⁷⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

107077 is a deficient number, since it is larger than the sum of its proper divisors (1).

107077 is an equidigital number, since it uses as much as digits as its factorization.

107077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 343, while the sum is 22.

The square root of 107077 is about 327.2262214432. The cubic root of 107077 is about 47.4859792413.

Adding to 107077 its reverse (770701), we get a palindrome (877778).

The spelling of 107077 in words is "one hundred seven thousand, seventy-seven", and thus it is an iban number.