107977 has 4 divisors (see below), whose sum is σ = 113680. Its totient is φ = 102276.

The previous prime is 107971. The next prime is 107981. The reversal of 107977 is 779701.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 107977 - 2¹¹ = 105929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2823 + ... + 2860.

It is an arithmetic number, because the mean of its divisors is an integer number (28420).

2¹⁰⁷⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

107977 is a deficient number, since it is larger than the sum of its proper divisors (5703).

107977 is an equidigital number, since it uses as much as digits as its factorization.

107977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702.

The product of its (nonzero) digits is 3087, while the sum is 31.

The square root of 107977 is about 328.5985392542. The cubic root of 107977 is about 47.6186507427.

It can be divided in two parts, 1079 and 77, that added together give a square (1156 = 34²).

The spelling of 107977 in words is "one hundred seven thousand, nine hundred seventy-seven".