10540032 has 88 divisors (see below), whose sum is σ = 29083776. Its totient is φ = 3391488.

The previous prime is 10540027. The next prime is 10540037. The reversal of 10540032 is 23004501.

It is an interprime number because it is at equal distance from previous prime (10540027) and next prime (10540037).

It is a super-2 number, since 2×10540032² = 222184549122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10539993 and 10540020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144348 + ... + 144420.

Almost surely, 2^10540032 is an apocalyptic number.

10540032 is a gapful number since it is divisible by the number (12) 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 10540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14541888).

10540032 is an abundant number, since it is smaller than the sum of its proper divisors (18543744).

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

10540032 is an equidigital number, since it uses as much as digits as its factorization.

10540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10540032 is about 3246.5415444747. The cubic root of 10540032 is about 219.2538912374.

Adding to 10540032 its reverse (23004501), we get a palindrome (33544533).

The spelling of 10540032 in words is "ten million, five hundred forty thousand, thirty-two".