10542264 has 64 divisors (see below), whose sum is σ = 28272000. Its totient is φ = 3265920.

The previous prime is 10542253. The next prime is 10542269. The reversal of 10542264 is 46224501.

It is a super-2 number, since 2×10542264² = 222278660491392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27627 + ... + 28005.

It is an arithmetic number, because the mean of its divisors is an integer number (441750).

Almost surely, 2^10542264 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 10542264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136000).

10542264 is an abundant number, since it is smaller than the sum of its proper divisors (17729736).

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

10542264 is a wasteful number, since it uses less digits than its factorization.

10542264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 10542264 is about 3246.8852766921. The cubic root of 10542264 is about 219.2693668434.

Adding to 10542264 its reverse (46224501), we get a palindrome (56766765).

The spelling of 10542264 in words is "ten million, five hundred forty-two thousand, two hundred sixty-four".