105605104 has 40 divisors (see below), whose sum is σ = 229257648. Its totient is φ = 46702080.

The previous prime is 105605089. The next prime is 105605107. The reversal of 105605104 is 401506501.

It is a super-2 number, since 2×105605104² = 22304875981701632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1597 + ... + 14620.

Almost surely, 2^105605104 is an apocalyptic number.

It is an amenable number.

105605104 is an abundant number, since it is smaller than the sum of its proper divisors (123652544).

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

105605104 is a wasteful number, since it uses less digits than its factorization.

105605104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16273 (or 16267 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105605104 is about 10276.4344010946. The cubic root of 105605104 is about 472.6739152436.

The spelling of 105605104 in words is "one hundred five million, six hundred five thousand, one hundred four".