106004367 has 48 divisors (see below), whose sum is σ = 191730240. Its totient is φ = 55028736.

The previous prime is 106004357. The next prime is 106004383. The reversal of 106004367 is 763400601.

106004367 is a `hidden beast` number, since 10 + 600 + 43 + 6 + 7 = 666.

It is not a de Polignac number, because 106004367 - 2⁶ = 106004303 is a prime.

It is a super-2 number, since 2×106004367² = 22473851646141378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106004367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106004347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29353 + ... + 32765.

It is an arithmetic number, because the mean of its divisors is an integer number (3994380).

Almost surely, 2^106004367 is an apocalyptic number.

106004367 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106004367 is a deficient number, since it is larger than the sum of its proper divisors (85725873).

106004367 is a wasteful number, since it uses less digits than its factorization.

106004367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106004367 is about 10295.8422190708. The cubic root of 106004367 is about 473.2688481990.

Adding to 106004367 its reverse (763400601), we get a palindrome (869404968).

The spelling of 106004367 in words is "one hundred six million, four thousand, three hundred sixty-seven".