10507264 has 44 divisors (see below), whose sum is σ = 21747328. Its totient is φ = 5068800.

The previous prime is 10507261. The next prime is 10507267. The reversal of 10507264 is 46270501.

It is an interprime number because it is at equal distance from previous prime (10507261) and next prime (10507267).

It is a super-2 number, since 2×10507264² = 220805193531392, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507261) 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 3 ways as a sum of consecutive naturals, for example, 31579 + ... + 31909.

Almost surely, 2^10507264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10873664).

10507264 is an abundant number, since it is smaller than the sum of its proper divisors (11240064).

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

10507264 is an equidigital number, since it uses as much as digits as its factorization.

10507264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 10507264 is about 3241.4910149498. The cubic root of 10507264 is about 219.0264419050.

Adding to 10507264 its reverse (46270501), we get a palindrome (56777765).

The spelling of 10507264 in words is "ten million, five hundred seven thousand, two hundred sixty-four".