10545264 has 60 divisors (see below), whose sum is σ = 29979976. Its totient is φ = 3459456.

The previous prime is 10545257. The next prime is 10545281. The reversal of 10545264 is 46254501.

It is a super-2 number, since 2×10545264² = 222405185659392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9102 + ... + 10194.

Almost surely, 2^10545264 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 10545264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14989988).

10545264 is an abundant number, since it is smaller than the sum of its proper divisors (19434712).

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

10545264 is a wasteful number, since it uses less digits than its factorization.

10545264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 10545264 is about 3247.3472250439. The cubic root of 10545264 is about 219.2901639483.

Adding to 10545264 its reverse (46254501), we get a palindrome (56799765).

It can be divided in two parts, 105 and 45264, that added together give a square (45369 = 213²).

The spelling of 10545264 in words is "ten million, five hundred forty-five thousand, two hundred sixty-four".