107657 has 4 divisors (see below), whose sum is σ = 117456. Its totient is φ = 97860.

The previous prime is 107647. The next prime is 107671. The reversal of 107657 is 756701.

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, and also an emirpimes, since its reverse is a distinct semiprime: 756701 = 11 ⋅68791.

It is a cyclic number.

It is not a de Polignac number, because 107657 - 2⁴ = 107641 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (107647) 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 in 3 ways as a sum of consecutive naturals, for example, 4883 + ... + 4904.

It is an arithmetic number, because the mean of its divisors is an integer number (29364).

2¹⁰⁷⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

107657 is a deficient number, since it is larger than the sum of its proper divisors (9799).

107657 is an equidigital number, since it uses as much as digits as its factorization.

107657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9798.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 107657 is about 328.1112616172. Note that the first 3 decimals coincide. The cubic root of 107657 is about 47.5715634120.

It can be divided in two parts, 10 and 7657, that added together give a palindrome (7667).

The spelling of 107657 in words is "one hundred seven thousand, six hundred fifty-seven".