105205104 has 30 divisors (see below), whose sum is σ = 294428576. Its totient is φ = 35068320.

The previous prime is 105205099. The next prime is 105205117. The reversal of 105205104 is 401502501.

It is a super-2 number, since 2×105205104² = 22136227815301632, 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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 365152 + ... + 365439.

Almost surely, 2^105205104 is an apocalyptic number.

It is an amenable number.

105205104 is an abundant number, since it is smaller than the sum of its proper divisors (189223472).

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

105205104 is a wasteful number, since it uses less digits than its factorization.

105205104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730605 (or 730596 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105205104 is about 10256.9539337954. The cubic root of 105205104 is about 472.0763785237.

Adding to 105205104 its reverse (401502501), we get a palindrome (506707605).

It can be divided in two parts, 105 and 205104, that added together give a square (205209 = 453²).

The spelling of 105205104 in words is "one hundred five million, two hundred five thousand, one hundred four".