105204465 has 24 divisors (see below), whose sum is σ = 182593320. Its totient is φ = 56035584.

The previous prime is 105204457. The next prime is 105204467. The reversal of 105204465 is 564402501.

It can be written as a sum of positive squares in 4 ways, for example, as 69956496 + 35247969 = 8364^2 + 5937^2 .

It is not a de Polignac number, because 105204465 - 2³ = 105204457 is a prime.

It is a super-2 number, since 2×105204465² = 22135958911872450, which contains 22 as substring.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64581 + ... + 66189.

It is an arithmetic number, because the mean of its divisors is an integer number (7608055).

Almost surely, 2^105204465 is an apocalyptic number.

105204465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105204465 is a deficient number, since it is larger than the sum of its proper divisors (77388855).

105204465 is a wasteful number, since it uses less digits than its factorization.

105204465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 105204465 is about 10256.9227841492. The cubic root of 105204465 is about 472.0754227481.

Adding to 105204465 its reverse (564402501), we get a palindrome (669606966).

The spelling of 105204465 in words is "one hundred five million, two hundred four thousand, four hundred sixty-five".