105204463 has 32 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 77656320.

The previous prime is 105204457. The next prime is 105204467. The reversal of 105204463 is 364402501.

It is not a de Polignac number, because 105204463 - 2⁹ = 105203951 is a prime.

It is a super-2 number, since 2×105204463² = 22135958070236738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105204467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122331 + ... + 123187.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2^105204463 is an apocalyptic number.

105204463 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105204463 is a deficient number, since it is larger than the sum of its proper divisors (33173777).

105204463 is a wasteful number, since it uses less digits than its factorization.

105204463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 105204463 is about 10256.9226866541. The cubic root of 105204463 is about 472.0754197566.

Adding to 105204463 its reverse (364402501), we get a palindrome (469606964).

The spelling of 105204463 in words is "one hundred five million, two hundred four thousand, four hundred sixty-three".