10540180 has 48 divisors (see below), whose sum is σ = 25643520. Its totient is φ = 3564288.

The previous prime is 10540169. The next prime is 10540199. The reversal of 10540180 is 8104501.

It is a super-2 number, since 2×10540180² = 222190788864800, 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 15 ways as a sum of consecutive naturals, for example, 10584 + ... + 11536.

It is an arithmetic number, because the mean of its divisors is an integer number (534240).

Almost surely, 2^10540180 is an apocalyptic number.

10540180 is a gapful number since it is divisible by the number (10) 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 10540180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821760).

10540180 is an abundant number, since it is smaller than the sum of its proper divisors (15103340).

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

10540180 is a wasteful number, since it uses less digits than its factorization.

10540180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 10540180 is about 3246.5643378809. The cubic root of 10540180 is about 219.2549174653.

Adding to 10540180 its reverse (8104501), we get a palindrome (18644681).

The spelling of 10540180 in words is "ten million, five hundred forty thousand, one hundred eighty".