10506464 has 12 divisors (see below), whose sum is σ = 20684664. Its totient is φ = 5253216.

The previous prime is 10506451. The next prime is 10506467. The reversal of 10506464 is 46460501.

It is a happy number.

It is a super-3 number, since 3×10506464³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164132 + ... + 164195.

It is an arithmetic number, because the mean of its divisors is an integer number (1723722).

Almost surely, 2^10506464 is an apocalyptic number.

It is an amenable number.

10506464 is a deficient number, since it is larger than the sum of its proper divisors (10178200).

10506464 is an equidigital number, since it uses as much as digits as its factorization.

10506464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328337 (or 328329 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 10506464 is about 3241.3676125981. The cubic root of 10506464 is about 219.0208830332.

Adding to 10506464 its reverse (46460501), we get a palindrome (56966965).

It can be divided in two parts, 10506 and 464, that multiplied together give a palindrome (4874784).

The spelling of 10506464 in words is "ten million, five hundred six thousand, four hundred sixty-four".