105306004 has 12 divisors (see below), whose sum is σ = 186810484. Its totient is φ = 51931584.

The previous prime is 105305951. The next prime is 105306017. The reversal of 105306004 is 400603501.

It can be written as a sum of positive squares in 2 ways, for example, as 64320400 + 40985604 = 8020^2 + 6402^2 .

It is a super-2 number, since 2×105306004² = 22178708956896032, 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 in 3 ways as a sum of consecutive naturals, for example, 180027 + ... + 180610.

Almost surely, 2^105306004 is an apocalyptic number.

It is an amenable number.

105306004 is a deficient number, since it is larger than the sum of its proper divisors (81504480).

105306004 is a wasteful number, since it uses less digits than its factorization.

105306004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360714 (or 360712 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 105306004 is about 10261.8713692971. The cubic root of 105306004 is about 472.2272498063.

Adding to 105306004 its reverse (400603501), we get a palindrome (505909505).

The spelling of 105306004 in words is "one hundred five million, three hundred six thousand, four".