105204312 has 32 divisors (see below), whose sum is σ = 292234800. Its totient is φ = 35068032.

The previous prime is 105204301. The next prime is 105204329. The reversal of 105204312 is 213402501.

It is a super-2 number, since 2×105204312² = 22135894526786688, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243313 + ... + 243744.

Almost surely, 2^105204312 is an apocalyptic number.

105204312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105204312 is an abundant number, since it is smaller than the sum of its proper divisors (187030488).

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

105204312 is a wasteful number, since it uses less digits than its factorization.

105204312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487072 (or 487062 counting only the distinct ones).

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

The square root of 105204312 is about 10256.9153257692. The cubic root of 105204312 is about 472.0751938998.

Adding to 105204312 its reverse (213402501), we get a palindrome (318606813).

The spelling of 105204312 in words is "one hundred five million, two hundred four thousand, three hundred twelve".