107936 has 12 divisors (see below), whose sum is σ = 212562. Its totient is φ = 53952.

The previous prime is 107927. The next prime is 107941. The reversal of 107936 is 639701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 59536 + 48400 = 244^2 + 220^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

107936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1655 + ... + 1718.

2¹⁰⁷⁹³⁶ is an apocalyptic number.

107936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107936 is a deficient number, since it is larger than the sum of its proper divisors (104626).

107936 is an equidigital number, since it uses as much as digits as its factorization.

107936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 107936 is about 328.5361471741. The cubic root of 107936 is about 47.6126228792.

The spelling of 107936 in words is "one hundred seven thousand, nine hundred thirty-six".