10540110084 has 96 divisors (see below), whose sum is σ = 29610040320. Its totient is φ = 2850671232.

The previous prime is 10540110083. The next prime is 10540110107. The reversal of 10540110084 is 48001104501.

It is a super-2 number, since 2×10540110084² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10540110083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3185559 + ... + 3188865.

It is an arithmetic number, because the mean of its divisors is an integer number (308437920).

Almost surely, 2^10540110084 is an apocalyptic number.

10540110084 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 10540110084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805020160).

10540110084 is an abundant number, since it is smaller than the sum of its proper divisors (19069930236).

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

10540110084 is a wasteful number, since it uses less digits than its factorization.

10540110084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 10540110084 its reverse (48001104501), we get a palindrome (58541214585).

The spelling of 10540110084 in words is "ten billion, five hundred forty million, one hundred ten thousand, eighty-four".