106005204 has 18 divisors (see below), whose sum is σ = 267957690. Its totient is φ = 35335056.

The previous prime is 106005203. The next prime is 106005209. The reversal of 106005204 is 402500601.

It is a happy number.

106005204 is a `hidden beast` number, since 10 + 600 + 52 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105884100 + 121104 = 10290^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×106005204² = 22474206550163232, which contains 22 as substring.

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 (106005203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1472259 + ... + 1472330.

Almost surely, 2^106005204 is an apocalyptic number.

It is an amenable number.

106005204 is an abundant number, since it is smaller than the sum of its proper divisors (161952486).

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

106005204 is a wasteful number, since it uses less digits than its factorization.

106005204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944599 (or 2944594 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 106005204 is about 10295.8828664666. The cubic root of 106005204 is about 473.2700938238.

Adding to 106005204 its reverse (402500601), we get a palindrome (508505805).

The spelling of 106005204 in words is "one hundred six million, five thousand, two hundred four".