10506496 has 144 divisors (see below), whose sum is σ = 28844928. Its totient is φ = 3686400.

The previous prime is 10506481. The next prime is 10506499. The reversal of 10506496 is 69460501.

It is a super-2 number, since 2×10506496² = 220772916396032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256236 + ... + 256276.

It is an arithmetic number, because the mean of its divisors is an integer number (200312).

Almost surely, 2^10506496 is an apocalyptic number.

10506496 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 10506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422464).

10506496 is an abundant number, since it is smaller than the sum of its proper divisors (18338432).

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

10506496 is a wasteful number, since it uses less digits than its factorization.

10506496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 10506496 is about 3241.3725487824. The cubic root of 10506496 is about 219.0211053935.

Adding to 10506496 its reverse (69460501), we get a palindrome (79966997).

The spelling of 10506496 in words is "ten million, five hundred six thousand, four hundred ninety-six".