10505456 has 40 divisors (see below), whose sum is σ = 23217264. Its totient is φ = 4561920.

The previous prime is 10505449. The next prime is 10505477. The reversal of 10505456 is 65450501.

It is a super-2 number, since 2×10505456² = 220729211535872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2051 + ... + 5021.

Almost surely, 2^10505456 is an apocalyptic number.

10505456 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 10505456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11608632).

10505456 is an abundant number, since it is smaller than the sum of its proper divisors (12711808).

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

10505456 is a wasteful number, since it uses less digits than its factorization.

10505456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 10505456 is about 3241.2121189456. The cubic root of 10505456 is about 219.0138784530.

Adding to 10505456 its reverse (65450501), we get a palindrome (75955957).

The spelling of 10505456 in words is "ten million, five hundred five thousand, four hundred fifty-six".