10527104 has 64 divisors (see below), whose sum is σ = 24806400. Its totient is φ = 4354560.

The previous prime is 10527071. The next prime is 10527113. The reversal of 10527104 is 40172501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10527104² = 221639837253632, 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 7 ways as a sum of consecutive naturals, for example, 27587 + ... + 27965.

It is an arithmetic number, because the mean of its divisors is an integer number (387600).

Almost surely, 2^10527104 is an apocalyptic number.

10527104 is a gapful number since it is divisible by the number (14) 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 10527104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12403200).

10527104 is an abundant number, since it is smaller than the sum of its proper divisors (14279296).

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

10527104 is an equidigital number, since it uses as much as digits as its factorization.

10527104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 10527104 is about 3244.5498917415. The cubic root of 10527104 is about 219.1642117501.

Adding to 10527104 its reverse (40172501), we get a palindrome (50699605).

The spelling of 10527104 in words is "ten million, five hundred twenty-seven thousand, one hundred four".