105405456 has 80 divisors (see below), whose sum is σ = 302758400. Its totient is φ = 31380480.

The previous prime is 105405409. The next prime is 105405463. The reversal of 105405456 is 654504501.

It is a super-2 number, since 2×105405456² = 22220620309135872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16620 + ... + 22068.

It is an arithmetic number, because the mean of its divisors is an integer number (3784480).

Almost surely, 2^105405456 is an apocalyptic number.

105405456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105405456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151379200).

105405456 is an abundant number, since it is smaller than the sum of its proper divisors (197352944).

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

105405456 is a wasteful number, since it uses less digits than its factorization.

105405456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 105405456 is about 10266.7159306177. The cubic root of 105405456 is about 472.3758616803.

Adding to 105405456 its reverse (654504501), we get a palindrome (759909957).

The spelling of 105405456 in words is "one hundred five million, four hundred five thousand, four hundred fifty-six".