105404468 has 24 divisors (see below), whose sum is σ = 200704392. Its totient is φ = 48144384.

The previous prime is 105404461. The next prime is 105404477. The reversal of 105404468 is 864404501.

It can be written as a sum of positive squares in 4 ways, for example, as 4963984 + 100440484 = 2228^2 + 10022^2 .

It is a super-2 number, since 2×105404468² = 22220203748726048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105404461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5405 + ... + 15492.

It is an arithmetic number, because the mean of its divisors is an integer number (8362683).

Almost surely, 2^105404468 is an apocalyptic number.

It is an amenable number.

105404468 is a deficient number, since it is larger than the sum of its proper divisors (95299924).

105404468 is a wasteful number, since it uses less digits than its factorization.

105404468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21011 (or 21009 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 105404468 is about 10266.6678138527. The cubic root of 105404468 is about 472.3743857643.

Adding to 105404468 its reverse (864404501), we get a palindrome (969808969).

The spelling of 105404468 in words is "one hundred five million, four hundred four thousand, four hundred sixty-eight".