107284 has 6 divisors (see below), whose sum is σ = 187754. Its totient is φ = 53640.

The previous prime is 107279. The next prime is 107309. The reversal of 107284 is 482701.

107284 = 55² + 56² + ... + 78².

It can be written as a sum of positive squares in only one way, i.e., 103684 + 3600 = 322^2 + 60^2 .

It is a congruent number.

It is an unprimeable 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, 13407 + ... + 13414.

2¹⁰⁷²⁸⁴ is an apocalyptic number.

It is an amenable number.

107284 is a deficient number, since it is larger than the sum of its proper divisors (80470).

107284 is a wasteful number, since it uses less digits than its factorization.

107284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26825 (or 26823 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 107284 is about 327.5423636722. The cubic root of 107284 is about 47.5165593234.

Adding to 107284 its reverse (482701), we get a palindrome (589985).

It can be divided in two parts, 1072 and 84, that added together give a square (1156 = 34²).

The spelling of 107284 in words is "one hundred seven thousand, two hundred eighty-four".