106004 has 6 divisors (see below), whose sum is σ = 185514. Its totient is φ = 53000.

The previous prime is 105997. The next prime is 106013. The reversal of 106004 is 400601.

It can be written as a sum of positive squares in only one way, i.e., 84100 + 21904 = 290^2 + 148^2 .

It is a super-2 number, since 2×106004² = 22473696032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13247 + ... + 13254.

It is an arithmetic number, because the mean of its divisors is an integer number (30919).

2¹⁰⁶⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

106004 is a deficient number, since it is larger than the sum of its proper divisors (79510).

106004 is a wasteful number, since it uses less digits than its factorization.

106004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26505 (or 26503 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 106004 is about 325.5825548152. The cubic root of 106004 is about 47.3268302027.

Adding to 106004 its reverse (400601), we get a palindrome (506605).

The spelling of 106004 in words is "one hundred six thousand, four".