10534656548100 has 288 divisors, whose sum is σ = 33394263880320. Its totient is φ = 2552195932160.

The previous prime is 10534656548081. The next prime is 10534656548113. The reversal of 10534656548100 is 184565643501.

It is a super-2 number, since 2×10534656548100² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10534656548100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 970662274 + ... + 970673126.

It is an arithmetic number, because the mean of its divisors is an integer number (115952305140).

Almost surely, 2^{10534656548100} is an apocalyptic number.

10534656548100 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 10534656548100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16697131940160).

10534656548100 is an abundant number, since it is smaller than the sum of its proper divisors (22859607332220).

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

10534656548100 is a wasteful number, since it uses less digits than its factorization.

10534656548100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17479 (or 17472 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 10534656548100 in words is "ten trillion, five hundred thirty-four billion, six hundred fifty-six million, five hundred forty-eight thousand, one hundred".