107604 has 54 divisors (see below), whose sum is σ = 321594. Its totient is φ = 30240.

The previous prime is 107603. The next prime is 107609. The reversal of 107604 is 406701.

107604 = T₁₆₀ + T₁₆₁ + ... + T₁₆₇.

107604 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 44100 = 252^2 + 210^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107603) 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 17 ways as a sum of consecutive naturals, for example, 1734 + ... + 1794.

2¹⁰⁷⁶⁰⁴ is an apocalyptic number.

107604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160797).

107604 is an abundant number, since it is smaller than the sum of its proper divisors (213990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107604 is a wasteful number, since it uses less digits than its factorization.

107604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 107604 is about 328.0304863881. The cubic root of 107604 is about 47.5637555695.

The spelling of 107604 in words is "one hundred seven thousand, six hundred four".